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Finding the Fourth Proportional to 185, 255.38 and 116.04

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Solution

The fourth proportional to 185, 255.38 and 116.04 is: 160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    185 : 255.38 = 116.04 : x
  2. Step 2: Convert to fraction form
    185/255.38 = 116.04/x
  3. Step 3: Cross multiply
    185x = 255.38 × 116.04
  4. Step 4: Simplify right side
    185x = 29,634.30
  5. Step 5: Solve for x
    x = 29,634.30/185
  6. Step 6: Final answer
    x = 160.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.