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Finding the Fourth Proportional to 169.03, 232.95 and 129.70

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Solution

The fourth proportional to 169.03, 232.95 and 129.70 is: 178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.03 : 232.95 = 129.70 : x
  2. Step 2: Convert to fraction form
    169.03/232.95 = 129.70/x
  3. Step 3: Cross multiply
    169.03x = 232.95 × 129.70
  4. Step 4: Simplify right side
    169.03x = 30,213.62
  5. Step 5: Solve for x
    x = 30,213.62/169.03
  6. Step 6: Final answer
    x = 178.75

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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.