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Finding the Fourth Proportional to 161.41, 223.20 and 138.43

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Solution

The fourth proportional to 161.41, 223.20 and 138.43 is: 191.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.41 : 223.20 = 138.43 : x
  2. Step 2: Convert to fraction form
    161.41/223.20 = 138.43/x
  3. Step 3: Cross multiply
    161.41x = 223.20 × 138.43
  4. Step 4: Simplify right side
    161.41x = 30,897.58
  5. Step 5: Solve for x
    x = 30,897.58/161.41
  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.