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Finding the Fourth Proportional to 173.92, 239.76 and 142.79

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Solution

The fourth proportional to 173.92, 239.76 and 142.79 is: 196.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.92 : 239.76 = 142.79 : x
  2. Step 2: Convert to fraction form
    173.92/239.76 = 142.79/x
  3. Step 3: Cross multiply
    173.92x = 239.76 × 142.79
  4. Step 4: Simplify right side
    173.92x = 34,235.33
  5. Step 5: Solve for x
    x = 34,235.33/173.92
  6. Step 6: Final answer
    x = 196.85

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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.