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Finding the Fourth Proportional to 239.05, 358.64 and 76.74

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Solution

The fourth proportional to 239.05, 358.64 and 76.74 is: 115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.05 : 358.64 = 76.74 : x
  2. Step 2: Convert to fraction form
    239.05/358.64 = 76.74/x
  3. Step 3: Cross multiply
    239.05x = 358.64 × 76.74
  4. Step 4: Simplify right side
    239.05x = 27,522.03
  5. Step 5: Solve for x
    x = 27,522.03/239.05
  6. Step 6: Final answer
    x = 115.13

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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.