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Finding the Fourth Proportional to 237.36, 327.42 and 149.97

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Solution

The fourth proportional to 237.36, 327.42 and 149.97 is: 206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.36 : 327.42 = 149.97 : x
  2. Step 2: Convert to fraction form
    237.36/327.42 = 149.97/x
  3. Step 3: Cross multiply
    237.36x = 327.42 × 149.97
  4. Step 4: Simplify right side
    237.36x = 49,103.18
  5. Step 5: Solve for x
    x = 49,103.18/237.36
  6. Step 6: Final answer
    x = 206.87

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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.