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Finding the Fourth Proportional to 239.78, 359.68 and 205.96

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Solution

The fourth proportional to 239.78, 359.68 and 205.96 is: 308.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.78 : 359.68 = 205.96 : x
  2. Step 2: Convert to fraction form
    239.78/359.68 = 205.96/x
  3. Step 3: Cross multiply
    239.78x = 359.68 × 205.96
  4. Step 4: Simplify right side
    239.78x = 74,079.69
  5. Step 5: Solve for x
    x = 74,079.69/239.78
  6. Step 6: Final answer
    x = 308.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.