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Finding the Fourth Proportional to 206.38, 284.61 and 132.58

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Solution

The fourth proportional to 206.38, 284.61 and 132.58 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.38 : 284.61 = 132.58 : x
  2. Step 2: Convert to fraction form
    206.38/284.61 = 132.58/x
  3. Step 3: Cross multiply
    206.38x = 284.61 × 132.58
  4. Step 4: Simplify right side
    206.38x = 37,733.59
  5. Step 5: Solve for x
    x = 37,733.59/206.38
  6. Step 6: Final answer
    x = 182.84

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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.