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Finding the Fourth Proportional to 546.16, 819.24 and 180.95

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Solution

The fourth proportional to 546.16, 819.24 and 180.95 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.16 : 819.24 = 180.95 : x
  2. Step 2: Convert to fraction form
    546.16/819.24 = 180.95/x
  3. Step 3: Cross multiply
    546.16x = 819.24 × 180.95
  4. Step 4: Simplify right side
    546.16x = 148,241.48
  5. Step 5: Solve for x
    x = 148,241.48/546.16
  6. Step 6: Final answer
    x = 271.43

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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.