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Finding the Fourth Proportional to 173.20, 239.22 and 138.35

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Solution

The fourth proportional to 173.20, 239.22 and 138.35 is: 191.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.20 : 239.22 = 138.35 : x
  2. Step 2: Convert to fraction form
    173.20/239.22 = 138.35/x
  3. Step 3: Cross multiply
    173.20x = 239.22 × 138.35
  4. Step 4: Simplify right side
    173.20x = 33,096.09
  5. Step 5: Solve for x
    x = 33,096.09/173.20
  6. Step 6: Final answer
    x = 191.09

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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.