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Finding the Fourth Proportional to 236.92, 326.97 and 138.71

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Solution

The fourth proportional to 236.92, 326.97 and 138.71 is: 191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.92 : 326.97 = 138.71 : x
  2. Step 2: Convert to fraction form
    236.92/326.97 = 138.71/x
  3. Step 3: Cross multiply
    236.92x = 326.97 × 138.71
  4. Step 4: Simplify right side
    236.92x = 45,352.37
  5. Step 5: Solve for x
    x = 45,352.37/236.92
  6. Step 6: Final answer
    x = 191.43

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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.