Your default gateway is 192.168.0.1 (modem or router).
You need to change the miner to your subnet, 192.168.0.110 should work.The 0 is YOUR subnet,the miner is on a 1 subnet,you won't see it until you switch it to 0.Even the router/modem may not see it,but you get to it by your browser.
You will need to change your PC IP to 192.168.1.100 ,S3's default IP is 192.168.1.99.So unplug your PC ethernet from the router/modem & plug it into the miner.
Now just follow those instructions to change your PC to 192.168.1.101.
Now you can type 192.168.1.99 in a browser & change the miner to YOUR subnet,192.168.0.110(under network tab WAN section,use the edit button & save).When your done,plug the miner into your router(shut the miner off for 30 seconds & power it back up to make the changes stick).
& reset your PC to back to your subnet (192.168.0.100) & plug the ethernet back in the router.Then you should be able to type 192.168.0.110 & it should be there.
If you get a new router I'm not sure if it will be 192.168.1 or 0.Since your modem is a 0 subnet I'd assume it would still be a 0 subnet,I'm not an expert network guru.
Its is confusing,glad I never had to do it,Good Luck!!
Thats assuming seller did not change it. A lot of times it was ran with a different IP and you need to look at device list.
I know when I sold my S3's I wrote instructions for my buyers with the IP address. Made support on ebay auctions so much easier.