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.

Example Input: [245.776, 147.756, 46.081, 137.159, 69.132, -81.718, 135.053, 200.574]
Example Output: [ 0.273  0.164  0.051  0.152  0.077 -0.091  0.15   0.223]

Example Input: [-43.08, 109.525, -61.654, 5.718, 152.702, -86.576, 13.451, -70.716]
Example Output: [-2.224  5.654 -3.183  0.295  7.883 -4.47   0.694 -3.651]

Example Input: [178.071, 124.76, 185.477, 93.311, 153.353, -67.407, -77.919, -87.668, 166.055, 113.45]
Example Output:
[ 0.228  0.16   0.237  0.119  0.196 -0.086 -0.1   -0.112  0.212  0.145]