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Finding the Fourth Proportional to 173.14, 238.71 and 136.15

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Solution

The fourth proportional to 173.14, 238.71 and 136.15 is: 187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.14 : 238.71 = 136.15 : x
  2. Step 2: Convert to fraction form
    173.14/238.71 = 136.15/x
  3. Step 3: Cross multiply
    173.14x = 238.71 × 136.15
  4. Step 4: Simplify right side
    173.14x = 32,500.28
  5. Step 5: Solve for x
    x = 32,500.28/173.14
  6. Step 6: Final answer
    x = 187.71

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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.