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Finding the Fourth Proportional to 546.60, 819.84 and 161.86

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Solution

The fourth proportional to 546.60, 819.84 and 161.86 is: 242.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.60 : 819.84 = 161.86 : x
  2. Step 2: Convert to fraction form
    546.60/819.84 = 161.86/x
  3. Step 3: Cross multiply
    546.60x = 819.84 × 161.86
  4. Step 4: Simplify right side
    546.60x = 132,699.30
  5. Step 5: Solve for x
    x = 132,699.30/546.60
  6. Step 6: Final answer
    x = 242.77

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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.