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.
[105.543, -30.197, -21.414, 61.799, 240.988, 62.561, -94.452, -26.98, 231.318, 29.06]