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Finding the Fourth Proportional to 239.28, 329.80 and 165.43

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Solution

The fourth proportional to 239.28, 329.80 and 165.43 is: 228.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.28 : 329.80 = 165.43 : x
  2. Step 2: Convert to fraction form
    239.28/329.80 = 165.43/x
  3. Step 3: Cross multiply
    239.28x = 329.80 × 165.43
  4. Step 4: Simplify right side
    239.28x = 54,558.81
  5. Step 5: Solve for x
    x = 54,558.81/239.28
  6. Step 6: Final answer
    x = 228.01

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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.