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Finding the Fourth Proportional to 237.14, 327.16 and 138.84

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Solution

The fourth proportional to 237.14, 327.16 and 138.84 is: 191.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.14 : 327.16 = 138.84 : x
  2. Step 2: Convert to fraction form
    237.14/327.16 = 138.84/x
  3. Step 3: Cross multiply
    237.14x = 327.16 × 138.84
  4. Step 4: Simplify right side
    237.14x = 45,422.89
  5. Step 5: Solve for x
    x = 45,422.89/237.14
  6. Step 6: Final answer
    x = 191.54

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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.