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Finding the Fourth Proportional to 267.62, 401.23 and 180.71

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Solution

The fourth proportional to 267.62, 401.23 and 180.71 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.62 : 401.23 = 180.71 : x
  2. Step 2: Convert to fraction form
    267.62/401.23 = 180.71/x
  3. Step 3: Cross multiply
    267.62x = 401.23 × 180.71
  4. Step 4: Simplify right side
    267.62x = 72,507.50
  5. Step 5: Solve for x
    x = 72,507.50/267.62
  6. Step 6: Final answer
    x = 270.93

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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.