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Finding the Fourth Proportional to 236.89, 326.90 and 138.71

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Solution

The fourth proportional to 236.89, 326.90 and 138.71 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.89 : 326.90 = 138.71 : x
  2. Step 2: Convert to fraction form
    236.89/326.90 = 138.71/x
  3. Step 3: Cross multiply
    236.89x = 326.90 × 138.71
  4. Step 4: Simplify right side
    236.89x = 45,345.46
  5. Step 5: Solve for x
    x = 45,345.46/236.89
  6. Step 6: Final answer
    x = 191.42

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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.