Once you have chosen Rates (Matter) rates then you can create a Billing with a Rate Type of Rate Table. The values returned in the Rate Table lookup can be filtered by setting the Rate(Matters) related list on the matter.
Rate Type

Create a Billing (see: Create a Billing ~ From a Matter) or Create a Billing ~ From Billing TAB)
1. Choose Rate Table form the Rate Type drop down
2. Click Lookup to find desired Rate table
Default Lookup

Shows All available Matters and All available Timekeepers
Choose the desired rate her if you wish OR proceed to next step
Uncheck 'Show All Matters'

The Lookup shows only the associated rate Table rates for the "Divorce case" matter
Choose the desired rate her if you wish OR proceed to next step
Uncheck 'Show All Time Keepers'

The Lookup shows only the associated rate Table rates for the "Divorce case" matter that have an assigned Timekeeper
Choose the desired rate her if you wish
Returns you to billing creation page

Shows Rate table rate you have chosen in lookup.