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Finding the Fourth Proportional to 239.12, 358.61 and 76.76

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Solution

The fourth proportional to 239.12, 358.61 and 76.76 is: 115.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.12 : 358.61 = 76.76 : x
  2. Step 2: Convert to fraction form
    239.12/358.61 = 76.76/x
  3. Step 3: Cross multiply
    239.12x = 358.61 × 76.76
  4. Step 4: Simplify right side
    239.12x = 27,525.30
  5. Step 5: Solve for x
    x = 27,525.30/239.12
  6. Step 6: Final answer
    x = 115.11

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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.