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Finding the Fourth Proportional to 206.74, 285.33 and 129.14

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Solution

The fourth proportional to 206.74, 285.33 and 129.14 is: 178.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.74 : 285.33 = 129.14 : x
  2. Step 2: Convert to fraction form
    206.74/285.33 = 129.14/x
  3. Step 3: Cross multiply
    206.74x = 285.33 × 129.14
  4. Step 4: Simplify right side
    206.74x = 36,847.52
  5. Step 5: Solve for x
    x = 36,847.52/206.74
  6. Step 6: Final answer
    x = 178.23

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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.