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.
[168.528, 8.828, -90.405, 112.088, -74.208, 32.915, 25.919, -83.285, 34.499, 158.769]