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Finding the Fourth Proportional to 546.56, 819.76 and 161.76

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Solution

The fourth proportional to 546.56, 819.76 and 161.76 is: 242.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.56 : 819.76 = 161.76 : x
  2. Step 2: Convert to fraction form
    546.56/819.76 = 161.76/x
  3. Step 3: Cross multiply
    546.56x = 819.76 × 161.76
  4. Step 4: Simplify right side
    546.56x = 132,604.38
  5. Step 5: Solve for x
    x = 132,604.38/546.56
  6. Step 6: Final answer
    x = 242.62

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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.