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Finding the Fourth Proportional to 546.25, 819.20 and 180.95

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Solution

The fourth proportional to 546.25, 819.20 and 180.95 is: 271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.25 : 819.20 = 180.95 : x
  2. Step 2: Convert to fraction form
    546.25/819.20 = 180.95/x
  3. Step 3: Cross multiply
    546.25x = 819.20 × 180.95
  4. Step 4: Simplify right side
    546.25x = 148,234.24
  5. Step 5: Solve for x
    x = 148,234.24/546.25
  6. Step 6: Final answer
    x = 271.37

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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.