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Finding the Fourth Proportional to 239.89, 359.66 and 102.82

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Solution

The fourth proportional to 239.89, 359.66 and 102.82 is: 154.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.89 : 359.66 = 102.82 : x
  2. Step 2: Convert to fraction form
    239.89/359.66 = 102.82/x
  3. Step 3: Cross multiply
    239.89x = 359.66 × 102.82
  4. Step 4: Simplify right side
    239.89x = 36,979.73
  5. Step 5: Solve for x
    x = 36,979.73/239.89
  6. Step 6: Final answer
    x = 154.15

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