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Finding the Fourth Proportional to 237.44, 327.72 and 159.92

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Solution

The fourth proportional to 237.44, 327.72 and 159.92 is: 220.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.44 : 327.72 = 159.92 : x
  2. Step 2: Convert to fraction form
    237.44/327.72 = 159.92/x
  3. Step 3: Cross multiply
    237.44x = 327.72 × 159.92
  4. Step 4: Simplify right side
    237.44x = 52,408.98
  5. Step 5: Solve for x
    x = 52,408.98/237.44
  6. Step 6: Final answer
    x = 220.73

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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.