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Finding the Fourth Proportional to 546.20, 819.36 and 180.86

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Solution

The fourth proportional to 546.20, 819.36 and 180.86 is: 271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.20 : 819.36 = 180.86 : x
  2. Step 2: Convert to fraction form
    546.20/819.36 = 180.86/x
  3. Step 3: Cross multiply
    546.20x = 819.36 × 180.86
  4. Step 4: Simplify right side
    546.20x = 148,185.35
  5. Step 5: Solve for x
    x = 148,185.35/546.20
  6. Step 6: Final answer
    x = 271.30

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Double scale
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Similar ratio
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1.5x scale

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.