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Finding the Fourth Proportional to 239.05, 329.76 and 195.31

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Solution

The fourth proportional to 239.05, 329.76 and 195.31 is: 269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.05 : 329.76 = 195.31 : x
  2. Step 2: Convert to fraction form
    239.05/329.76 = 195.31/x
  3. Step 3: Cross multiply
    239.05x = 329.76 × 195.31
  4. Step 4: Simplify right side
    239.05x = 64,405.43
  5. Step 5: Solve for x
    x = 64,405.43/239.05
  6. Step 6: Final answer
    x = 269.42

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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.