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Finding the Fourth Proportional to 239.10, 329.76 and 165.42

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Solution

The fourth proportional to 239.10, 329.76 and 165.42 is: 228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.10 : 329.76 = 165.42 : x
  2. Step 2: Convert to fraction form
    239.10/329.76 = 165.42/x
  3. Step 3: Cross multiply
    239.10x = 329.76 × 165.42
  4. Step 4: Simplify right side
    239.10x = 54,548.90
  5. Step 5: Solve for x
    x = 54,548.90/239.10
  6. Step 6: Final answer
    x = 228.14

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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.