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.
[170.499, 38.259, 48.154, 187.65, 76.038, -57.624, 207.418, 245.961, 78.18, 249.811]