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Finding the Fourth Proportional to 173.89, 239.92 and 115.66

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Solution

The fourth proportional to 173.89, 239.92 and 115.66 is: 159.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.89 : 239.92 = 115.66 : x
  2. Step 2: Convert to fraction form
    173.89/239.92 = 115.66/x
  3. Step 3: Cross multiply
    173.89x = 239.92 × 115.66
  4. Step 4: Simplify right side
    173.89x = 27,749.15
  5. Step 5: Solve for x
    x = 27,749.15/173.89
  6. Step 6: Final answer
    x = 159.58

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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.