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Finding the Fourth Proportional to 206.43, 284.95 and 132.85

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Solution

The fourth proportional to 206.43, 284.95 and 132.85 is: 183.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.43 : 284.95 = 132.85 : x
  2. Step 2: Convert to fraction form
    206.43/284.95 = 132.85/x
  3. Step 3: Cross multiply
    206.43x = 284.95 × 132.85
  4. Step 4: Simplify right side
    206.43x = 37,855.61
  5. Step 5: Solve for x
    x = 37,855.61/206.43
  6. Step 6: Final answer
    x = 183.38

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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.