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Finding the Fourth Proportional to 180.85, 249.56 and 103.22

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Solution

The fourth proportional to 180.85, 249.56 and 103.22 is: 142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.85 : 249.56 = 103.22 : x
  2. Step 2: Convert to fraction form
    180.85/249.56 = 103.22/x
  3. Step 3: Cross multiply
    180.85x = 249.56 × 103.22
  4. Step 4: Simplify right side
    180.85x = 25,759.69
  5. Step 5: Solve for x
    x = 25,759.69/180.85
  6. Step 6: Final answer
    x = 142.44

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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.