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Finding the Fourth Proportional to 173.52, 238.92 and 142.32

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Solution

The fourth proportional to 173.52, 238.92 and 142.32 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.52 : 238.92 = 142.32 : x
  2. Step 2: Convert to fraction form
    173.52/238.92 = 142.32/x
  3. Step 3: Cross multiply
    173.52x = 238.92 × 142.32
  4. Step 4: Simplify right side
    173.52x = 34,003.09
  5. Step 5: Solve for x
    x = 34,003.09/173.52
  6. Step 6: Final answer
    x = 195.96

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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.