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.
[128.084, -16.765, 135.56, 191.695, 21.426, 14.546, 175.054, 62.363, -59.647, 165.184]