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Finding the Fourth Proportional to 667.57, 1,001.24 and 180.50

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Solution

The fourth proportional to 667.57, 1,001.24 and 180.50 is: 270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.57 : 1,001.24 = 180.50 : x
  2. Step 2: Convert to fraction form
    667.57/1,001.24 = 180.50/x
  3. Step 3: Cross multiply
    667.57x = 1,001.24 × 180.50
  4. Step 4: Simplify right side
    667.57x = 180,726.53
  5. Step 5: Solve for x
    x = 180,726.53/667.57
  6. Step 6: Final answer
    x = 270.72

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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.