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Finding the Fourth Proportional to 180.24, 269.76 and 132.08

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Solution

The fourth proportional to 180.24, 269.76 and 132.08 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 269.76 = 132.08 : x
  2. Step 2: Convert to fraction form
    180.24/269.76 = 132.08/x
  3. Step 3: Cross multiply
    180.24x = 269.76 × 132.08
  4. Step 4: Simplify right side
    180.24x = 35,629.90
  5. Step 5: Solve for x
    x = 35,629.90/180.24
  6. Step 6: Final answer
    x = 197.68

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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.