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Finding the Fourth Proportional to 267.13, 400.20 and 184.87

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Solution

The fourth proportional to 267.13, 400.20 and 184.87 is: 276.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.13 : 400.20 = 184.87 : x
  2. Step 2: Convert to fraction form
    267.13/400.20 = 184.87/x
  3. Step 3: Cross multiply
    267.13x = 400.20 × 184.87
  4. Step 4: Simplify right side
    267.13x = 73,983.97
  5. Step 5: Solve for x
    x = 73,983.97/267.13
  6. Step 6: Final answer
    x = 276.96

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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.