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Finding the Fourth Proportional to 180.58, 249.20 and 97.69

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Solution

The fourth proportional to 180.58, 249.20 and 97.69 is: 134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.58 : 249.20 = 97.69 : x
  2. Step 2: Convert to fraction form
    180.58/249.20 = 97.69/x
  3. Step 3: Cross multiply
    180.58x = 249.20 × 97.69
  4. Step 4: Simplify right side
    180.58x = 24,343.72
  5. Step 5: Solve for x
    x = 24,343.72/180.58
  6. Step 6: Final answer
    x = 134.81

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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.