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Finding the Fourth Proportional to 239.20, 330.08 and 151.78

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Solution

The fourth proportional to 239.20, 330.08 and 151.78 is: 209.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.20 : 330.08 = 151.78 : x
  2. Step 2: Convert to fraction form
    239.20/330.08 = 151.78/x
  3. Step 3: Cross multiply
    239.20x = 330.08 × 151.78
  4. Step 4: Simplify right side
    239.20x = 50,099.54
  5. Step 5: Solve for x
    x = 50,099.54/239.20
  6. Step 6: Final answer
    x = 209.45

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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.