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Finding the Fourth Proportional to 185.03, 255.19 and 129.70

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Solution

The fourth proportional to 185.03, 255.19 and 129.70 is: 178.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.03 : 255.19 = 129.70 : x
  2. Step 2: Convert to fraction form
    185.03/255.19 = 129.70/x
  3. Step 3: Cross multiply
    185.03x = 255.19 × 129.70
  4. Step 4: Simplify right side
    185.03x = 33,098.14
  5. Step 5: Solve for x
    x = 33,098.14/185.03
  6. Step 6: Final answer
    x = 178.88

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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.