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Finding the Fourth Proportional to 180.96, 249.69 and 103.32

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Solution

The fourth proportional to 180.96, 249.69 and 103.32 is: 142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 249.69 = 103.32 : x
  2. Step 2: Convert to fraction form
    180.96/249.69 = 103.32/x
  3. Step 3: Cross multiply
    180.96x = 249.69 × 103.32
  4. Step 4: Simplify right side
    180.96x = 25,797.97
  5. Step 5: Solve for x
    x = 25,797.97/180.96
  6. Step 6: Final answer
    x = 142.56

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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.