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Finding the Fourth Proportional to 267.60, 400.86 and 213.78

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Solution

The fourth proportional to 267.60, 400.86 and 213.78 is: 320.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.60 : 400.86 = 213.78 : x
  2. Step 2: Convert to fraction form
    267.60/400.86 = 213.78/x
  3. Step 3: Cross multiply
    267.60x = 400.86 × 213.78
  4. Step 4: Simplify right side
    267.60x = 85,695.85
  5. Step 5: Solve for x
    x = 85,695.85/267.60
  6. Step 6: Final answer
    x = 320.24

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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.