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Finding the Fourth Proportional to 237.72, 327.98 and 167.78

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Solution

The fourth proportional to 237.72, 327.98 and 167.78 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.72 : 327.98 = 167.78 : x
  2. Step 2: Convert to fraction form
    237.72/327.98 = 167.78/x
  3. Step 3: Cross multiply
    237.72x = 327.98 × 167.78
  4. Step 4: Simplify right side
    237.72x = 55,028.48
  5. Step 5: Solve for x
    x = 55,028.48/237.72
  6. Step 6: Final answer
    x = 231.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.