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Finding the Fourth Proportional to 239.68, 356.96 and 238.30

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Solution

The fourth proportional to 239.68, 356.96 and 238.30 is: 354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.68 : 356.96 = 238.30 : x
  2. Step 2: Convert to fraction form
    239.68/356.96 = 238.30/x
  3. Step 3: Cross multiply
    239.68x = 356.96 × 238.30
  4. Step 4: Simplify right side
    239.68x = 85,063.57
  5. Step 5: Solve for x
    x = 85,063.57/239.68
  6. Step 6: Final answer
    x = 354.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.