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Finding the Fourth Proportional to 267.92, 401.16 and 213.52

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Solution

The fourth proportional to 267.92, 401.16 and 213.52 is: 319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.92 : 401.16 = 213.52 : x
  2. Step 2: Convert to fraction form
    267.92/401.16 = 213.52/x
  3. Step 3: Cross multiply
    267.92x = 401.16 × 213.52
  4. Step 4: Simplify right side
    267.92x = 85,655.68
  5. Step 5: Solve for x
    x = 85,655.68/267.92
  6. Step 6: Final answer
    x = 319.71

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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.