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Finding the Fourth Proportional to 180.78, 249.48 and 102.10

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Solution

The fourth proportional to 180.78, 249.48 and 102.10 is: 140.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 249.48 = 102.10 : x
  2. Step 2: Convert to fraction form
    180.78/249.48 = 102.10/x
  3. Step 3: Cross multiply
    180.78x = 249.48 × 102.10
  4. Step 4: Simplify right side
    180.78x = 25,471.91
  5. Step 5: Solve for x
    x = 25,471.91/180.78
  6. Step 6: Final answer
    x = 140.90

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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.