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Finding the Fourth Proportional to 667.53, 1,001.22 and 180.57

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Solution

The fourth proportional to 667.53, 1,001.22 and 180.57 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.53 : 1,001.22 = 180.57 : x
  2. Step 2: Convert to fraction form
    667.53/1,001.22 = 180.57/x
  3. Step 3: Cross multiply
    667.53x = 1,001.22 × 180.57
  4. Step 4: Simplify right side
    667.53x = 180,790.30
  5. Step 5: Solve for x
    x = 180,790.30/667.53
  6. Step 6: Final answer
    x = 270.83

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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.