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Finding the Fourth Proportional to 173.25, 239.42 and 142.11

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Solution

The fourth proportional to 173.25, 239.42 and 142.11 is: 196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.25 : 239.42 = 142.11 : x
  2. Step 2: Convert to fraction form
    173.25/239.42 = 142.11/x
  3. Step 3: Cross multiply
    173.25x = 239.42 × 142.11
  4. Step 4: Simplify right side
    173.25x = 34,024.93
  5. Step 5: Solve for x
    x = 34,024.93/173.25
  6. Step 6: Final answer
    x = 196.39

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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.