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Finding the Fourth Proportional to 236.49, 326.31 and 138.22

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Solution

The fourth proportional to 236.49, 326.31 and 138.22 is: 190.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.49 : 326.31 = 138.22 : x
  2. Step 2: Convert to fraction form
    236.49/326.31 = 138.22/x
  3. Step 3: Cross multiply
    236.49x = 326.31 × 138.22
  4. Step 4: Simplify right side
    236.49x = 45,102.57
  5. Step 5: Solve for x
    x = 45,102.57/236.49
  6. Step 6: Final answer
    x = 190.72

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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.