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Finding the Fourth Proportional to 180.87, 249.60 and 103.24

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Solution

The fourth proportional to 180.87, 249.60 and 103.24 is: 142.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.87 : 249.60 = 103.24 : x
  2. Step 2: Convert to fraction form
    180.87/249.60 = 103.24/x
  3. Step 3: Cross multiply
    180.87x = 249.60 × 103.24
  4. Step 4: Simplify right side
    180.87x = 25,769.10
  5. Step 5: Solve for x
    x = 25,769.10/180.87
  6. Step 6: Final answer
    x = 142.47

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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.