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Finding the Fourth Proportional to 237.71, 327.92 and 150.44

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Solution

The fourth proportional to 237.71, 327.92 and 150.44 is: 207.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.71 : 327.92 = 150.44 : x
  2. Step 2: Convert to fraction form
    237.71/327.92 = 150.44/x
  3. Step 3: Cross multiply
    237.71x = 327.92 × 150.44
  4. Step 4: Simplify right side
    237.71x = 49,331.02
  5. Step 5: Solve for x
    x = 49,331.02/237.71
  6. Step 6: Final answer
    x = 207.52

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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.