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Finding the Fourth Proportional to 239.44, 329.96 and 206.56

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Solution

The fourth proportional to 239.44, 329.96 and 206.56 is: 284.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.44 : 329.96 = 206.56 : x
  2. Step 2: Convert to fraction form
    239.44/329.96 = 206.56/x
  3. Step 3: Cross multiply
    239.44x = 329.96 × 206.56
  4. Step 4: Simplify right side
    239.44x = 68,156.54
  5. Step 5: Solve for x
    x = 68,156.54/239.44
  6. Step 6: Final answer
    x = 284.65

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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.