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Finding the Fourth Proportional to 180.92, 249.67 and 98.02

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Solution

The fourth proportional to 180.92, 249.67 and 98.02 is: 135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.92 : 249.67 = 98.02 : x
  2. Step 2: Convert to fraction form
    180.92/249.67 = 98.02/x
  3. Step 3: Cross multiply
    180.92x = 249.67 × 98.02
  4. Step 4: Simplify right side
    180.92x = 24,473.28
  5. Step 5: Solve for x
    x = 24,473.28/180.92
  6. Step 6: Final answer
    x = 135.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.