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Finding the Fourth Proportional to 267.32, 400.52 and 180.31

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Solution

The fourth proportional to 267.32, 400.52 and 180.31 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 400.52 = 180.31 : x
  2. Step 2: Convert to fraction form
    267.32/400.52 = 180.31/x
  3. Step 3: Cross multiply
    267.32x = 400.52 × 180.31
  4. Step 4: Simplify right side
    267.32x = 72,217.76
  5. Step 5: Solve for x
    x = 72,217.76/267.32
  6. Step 6: Final answer
    x = 270.15

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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.