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Finding the Fourth Proportional to 180.78, 249.50 and 102.08

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Solution

The fourth proportional to 180.78, 249.50 and 102.08 is: 140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.78 : 249.50 = 102.08 : x
  2. Step 2: Convert to fraction form
    180.78/249.50 = 102.08/x
  3. Step 3: Cross multiply
    180.78x = 249.50 × 102.08
  4. Step 4: Simplify right side
    180.78x = 25,468.96
  5. Step 5: Solve for x
    x = 25,468.96/180.78
  6. Step 6: Final answer
    x = 140.88

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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.