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Finding the Fourth Proportional to 180.24, 249.96 and 173.76

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Solution

The fourth proportional to 180.24, 249.96 and 173.76 is: 240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.24 : 249.96 = 173.76 : x
  2. Step 2: Convert to fraction form
    180.24/249.96 = 173.76/x
  3. Step 3: Cross multiply
    180.24x = 249.96 × 173.76
  4. Step 4: Simplify right side
    180.24x = 43,433.05
  5. Step 5: Solve for x
    x = 43,433.05/180.24
  6. Step 6: Final answer
    x = 240.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.