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Finding the Fourth Proportional to 173.46, 239.46 and 140.76

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Solution

The fourth proportional to 173.46, 239.46 and 140.76 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.46 : 239.46 = 140.76 : x
  2. Step 2: Convert to fraction form
    173.46/239.46 = 140.76/x
  3. Step 3: Cross multiply
    173.46x = 239.46 × 140.76
  4. Step 4: Simplify right side
    173.46x = 33,706.39
  5. Step 5: Solve for x
    x = 33,706.39/173.46
  6. Step 6: Final answer
    x = 194.32

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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.