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Finding the Fourth Proportional to 239.94, 331.20 and 161.42

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Solution

The fourth proportional to 239.94, 331.20 and 161.42 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.94 : 331.20 = 161.42 : x
  2. Step 2: Convert to fraction form
    239.94/331.20 = 161.42/x
  3. Step 3: Cross multiply
    239.94x = 331.20 × 161.42
  4. Step 4: Simplify right side
    239.94x = 53,462.30
  5. Step 5: Solve for x
    x = 53,462.30/239.94
  6. Step 6: Final answer
    x = 222.82

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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.