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Finding the Fourth Proportional to 267.40, 400.78 and 180.73

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Solution

The fourth proportional to 267.40, 400.78 and 180.73 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.40 : 400.78 = 180.73 : x
  2. Step 2: Convert to fraction form
    267.40/400.78 = 180.73/x
  3. Step 3: Cross multiply
    267.40x = 400.78 × 180.73
  4. Step 4: Simplify right side
    267.40x = 72,432.97
  5. Step 5: Solve for x
    x = 72,432.97/267.40
  6. Step 6: Final answer
    x = 270.88

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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.