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Finding the Fourth Proportional to 180.89, 249.65 and 103.25

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Solution

The fourth proportional to 180.89, 249.65 and 103.25 is: 142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.89 : 249.65 = 103.25 : x
  2. Step 2: Convert to fraction form
    180.89/249.65 = 103.25/x
  3. Step 3: Cross multiply
    180.89x = 249.65 × 103.25
  4. Step 4: Simplify right side
    180.89x = 25,775.85
  5. Step 5: Solve for x
    x = 25,775.85/180.89
  6. Step 6: Final answer
    x = 142.49

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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.