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Finding the Fourth Proportional to 267.44, 400.95 and 180.52

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Solution

The fourth proportional to 267.44, 400.95 and 180.52 is: 270.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 400.95 = 180.52 : x
  2. Step 2: Convert to fraction form
    267.44/400.95 = 180.52/x
  3. Step 3: Cross multiply
    267.44x = 400.95 × 180.52
  4. Step 4: Simplify right side
    267.44x = 72,380.75
  5. Step 5: Solve for x
    x = 72,380.75/267.44
  6. Step 6: Final answer
    x = 270.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.