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Finding the Fourth Proportional to 180.67, 271.13 and 132.70

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Solution

The fourth proportional to 180.67, 271.13 and 132.70 is: 199.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 271.13 = 132.70 : x
  2. Step 2: Convert to fraction form
    180.67/271.13 = 132.70/x
  3. Step 3: Cross multiply
    180.67x = 271.13 × 132.70
  4. Step 4: Simplify right side
    180.67x = 35,978.95
  5. Step 5: Solve for x
    x = 35,978.95/180.67
  6. Step 6: Final answer
    x = 199.14

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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.