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Finding the Fourth Proportional to 546.64, 819.97 and 161.90

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Solution

The fourth proportional to 546.64, 819.97 and 161.90 is: 242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.64 : 819.97 = 161.90 : x
  2. Step 2: Convert to fraction form
    546.64/819.97 = 161.90/x
  3. Step 3: Cross multiply
    546.64x = 819.97 × 161.90
  4. Step 4: Simplify right side
    546.64x = 132,753.14
  5. Step 5: Solve for x
    x = 132,753.14/546.64
  6. Step 6: Final answer
    x = 242.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.