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Finding the Fourth Proportional to 174.37, 239.92 and 159.97

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Solution

The fourth proportional to 174.37, 239.92 and 159.97 is: 220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.37 : 239.92 = 159.97 : x
  2. Step 2: Convert to fraction form
    174.37/239.92 = 159.97/x
  3. Step 3: Cross multiply
    174.37x = 239.92 × 159.97
  4. Step 4: Simplify right side
    174.37x = 38,380.00
  5. Step 5: Solve for x
    x = 38,380.00/174.37
  6. Step 6: Final answer
    x = 220.11

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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.