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Finding the Fourth Proportional to 546.27, 819.27 and 156.26

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Solution

The fourth proportional to 546.27, 819.27 and 156.26 is: 234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.27 : 819.27 = 156.26 : x
  2. Step 2: Convert to fraction form
    546.27/819.27 = 156.26/x
  3. Step 3: Cross multiply
    546.27x = 819.27 × 156.26
  4. Step 4: Simplify right side
    546.27x = 128,015.03
  5. Step 5: Solve for x
    x = 128,015.03/546.27
  6. Step 6: Final answer
    x = 234.35

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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.