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Finding the Fourth Proportional to 546.14, 819.24 and 156.12

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Solution

The fourth proportional to 546.14, 819.24 and 156.12 is: 234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.14 : 819.24 = 156.12 : x
  2. Step 2: Convert to fraction form
    546.14/819.24 = 156.12/x
  3. Step 3: Cross multiply
    546.14x = 819.24 × 156.12
  4. Step 4: Simplify right side
    546.14x = 127,899.75
  5. Step 5: Solve for x
    x = 127,899.75/546.14
  6. Step 6: Final answer
    x = 234.19

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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.