In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[20.099, 137.273, 239.87, 148.001, 151.274, 226.122, 100.529, 225.509, 122.443, 229.499]