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Finding the Fourth Proportional to 267.96, 401.52 and 213.84

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Solution

The fourth proportional to 267.96, 401.52 and 213.84 is: 320.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.96 : 401.52 = 213.84 : x
  2. Step 2: Convert to fraction form
    267.96/401.52 = 213.84/x
  3. Step 3: Cross multiply
    267.96x = 401.52 × 213.84
  4. Step 4: Simplify right side
    267.96x = 85,861.04
  5. Step 5: Solve for x
    x = 85,861.04/267.96
  6. Step 6: Final answer
    x = 320.42

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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.