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Finding the Fourth Proportional to 206.53, 284.92 and 128.77

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Solution

The fourth proportional to 206.53, 284.92 and 128.77 is: 177.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.53 : 284.92 = 128.77 : x
  2. Step 2: Convert to fraction form
    206.53/284.92 = 128.77/x
  3. Step 3: Cross multiply
    206.53x = 284.92 × 128.77
  4. Step 4: Simplify right side
    206.53x = 36,689.15
  5. Step 5: Solve for x
    x = 36,689.15/206.53
  6. Step 6: Final answer
    x = 177.65

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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.