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Finding the Fourth Proportional to 546.46, 819.56 and 156.45

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Solution

The fourth proportional to 546.46, 819.56 and 156.45 is: 234.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.46 : 819.56 = 156.45 : x
  2. Step 2: Convert to fraction form
    546.46/819.56 = 156.45/x
  3. Step 3: Cross multiply
    546.46x = 819.56 × 156.45
  4. Step 4: Simplify right side
    546.46x = 128,220.16
  5. Step 5: Solve for x
    x = 128,220.16/546.46
  6. Step 6: Final answer
    x = 234.64

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