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Finding the Fourth Proportional to 237.11, 327.11 and 138.83

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Solution

The fourth proportional to 237.11, 327.11 and 138.83 is: 191.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.11 : 327.11 = 138.83 : x
  2. Step 2: Convert to fraction form
    237.11/327.11 = 138.83/x
  3. Step 3: Cross multiply
    237.11x = 327.11 × 138.83
  4. Step 4: Simplify right side
    237.11x = 45,410.35
  5. Step 5: Solve for x
    x = 45,410.35/237.11
  6. Step 6: Final answer
    x = 191.52

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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.