Cable Modem

It depends on whether your 3.22 network stations are already using tcp/ip, or just ipx/spx.

Assume no current tcp/ip:

You will need a router between the cable modem and the hub, where the router supplies services including DHCP, NAT and DNS. These routers are available from Netgear, Linksys and others for under $200.

When your cable modem was installed, it was set up for a particular computer. Instruct the router to mimic the MAC address of that computer. If your cable modem uses logins/passwords, these also have to be entered into the router. (Read the router manual -- how to do this stuff differs between manufacturers.)

Add tcp/ip protocol to all stations, and select getting the IP address automatically. Your users need tcp/ip to talk over the internet, and they each need an IP address. Point the DNS server and the default gateway on each station to the router's internal (your side) address. (Read the router manual for details.)

NAT (network address translation) is arouter function that the translates each station's internal address to a valid internet address (the router's) when they send traffic to the internet. The router keeps who is sending to where straight, and routes responses to the correct stations.
This solutions works for up to however many users the router can handle NAT for. This may be 32 or may be 254, depending on the router.

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Assume you already have tcp/ip:

If you are using internal addresses, such as 192.168.x.x, youcan install the router as above. Depending on the router, you may have to use the router's DHCP rather than whatever you are using now. Read the manual.

If you have your own real, routable addresses you may have a problem. It is extremely unlikely the cable company is going to route internet to your internal net. You will probably need the router to NAT the addresses.

Good luck.