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Finding the Fourth Proportional to 206.46, 284.93 and 132.92

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Solution

The fourth proportional to 206.46, 284.93 and 132.92 is: 183.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.46 : 284.93 = 132.92 : x
  2. Step 2: Convert to fraction form
    206.46/284.93 = 132.92/x
  3. Step 3: Cross multiply
    206.46x = 284.93 × 132.92
  4. Step 4: Simplify right side
    206.46x = 37,872.90
  5. Step 5: Solve for x
    x = 37,872.90/206.46
  6. Step 6: Final answer
    x = 183.44

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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.