For Xbox 360 on the Xbox 360, a GameFAQs message board topic titled "Connecting to Live with "Free Wifi" internet".
When you set your Xbox 360 to a static IP address, the router does not know that the Xbox 360 is using that IP address. So the very same IP address may be handed to another computer or console later, and that will prevent both devices from connecting to the internet. xbox 360 usb wireless adapter products for sale | eBay Wireless network adapter - The network adapter allows you to connect the Xbox 360 console to the internet through your local wireless network. Although you can also connect to the Internet through a wired Ethernet cable, this adapter is the only way to connect wirelessly for certain models of the Xbox 360. xbox 360 wifi adapter - Newegg.com
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How to connect Original Xbox 360 to your Wi-Fi - YouTube Apr 03, 2012
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Step 5: XBOX 360 should be connected as an extender to the Media Center Server. For AirPlay to work properly, you’ll need your iPhone on the same network as your Windows Media Center server. Be sure it is connected to your own WiFi access point.