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Finding the Fourth Proportional to 267.57, 401.49 and 213.84

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Solution

The fourth proportional to 267.57, 401.49 and 213.84 is: 320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.57 : 401.49 = 213.84 : x
  2. Step 2: Convert to fraction form
    267.57/401.49 = 213.84/x
  3. Step 3: Cross multiply
    267.57x = 401.49 × 213.84
  4. Step 4: Simplify right side
    267.57x = 85,854.62
  5. Step 5: Solve for x
    x = 85,854.62/267.57
  6. Step 6: Final answer
    x = 320.87

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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.