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Finding the Fourth Proportional to 180.53, 249.10 and 102.89

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Solution

The fourth proportional to 180.53, 249.10 and 102.89 is: 141.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.53 : 249.10 = 102.89 : x
  2. Step 2: Convert to fraction form
    180.53/249.10 = 102.89/x
  3. Step 3: Cross multiply
    180.53x = 249.10 × 102.89
  4. Step 4: Simplify right side
    180.53x = 25,629.90
  5. Step 5: Solve for x
    x = 25,629.90/180.53
  6. Step 6: Final answer
    x = 141.97

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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.