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Finding the Fourth Proportional to 173.34, 239.06 and 140.14

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Solution

The fourth proportional to 173.34, 239.06 and 140.14 is: 193.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.34 : 239.06 = 140.14 : x
  2. Step 2: Convert to fraction form
    173.34/239.06 = 140.14/x
  3. Step 3: Cross multiply
    173.34x = 239.06 × 140.14
  4. Step 4: Simplify right side
    173.34x = 33,502.52
  5. Step 5: Solve for x
    x = 33,502.52/173.34
  6. Step 6: Final answer
    x = 193.28

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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.