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Finding the Fourth Proportional to 546.53, 819.72 and 156.57

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Solution

The fourth proportional to 546.53, 819.72 and 156.57 is: 234.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.53 : 819.72 = 156.57 : x
  2. Step 2: Convert to fraction form
    546.53/819.72 = 156.57/x
  3. Step 3: Cross multiply
    546.53x = 819.72 × 156.57
  4. Step 4: Simplify right side
    546.53x = 128,343.56
  5. Step 5: Solve for x
    x = 128,343.56/546.53
  6. Step 6: Final answer
    x = 234.84

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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.