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.
[191.07, 75.903, 248.573, 40.928, 35.382, 61.255, -0.479, -98.776, -47.659, 243.188]