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.
[-62.445, 95.746, -35.963, 30.63, 166.097, 167.56, 147.438, -54.667, 154.899, -55.24]