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.
[127.207, -92.618, -83.228, 63.234, 32.494, 232.544, 168.046, 176.657, 77.739, 249.491]