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Finding the Fourth Proportional to 173.82, 239.69 and 111.65

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Solution

The fourth proportional to 173.82, 239.69 and 111.65 is: 153.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.82 : 239.69 = 111.65 : x
  2. Step 2: Convert to fraction form
    173.82/239.69 = 111.65/x
  3. Step 3: Cross multiply
    173.82x = 239.69 × 111.65
  4. Step 4: Simplify right side
    173.82x = 26,760.83
  5. Step 5: Solve for x
    x = 26,760.83/173.82
  6. Step 6: Final answer
    x = 153.96

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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.