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Finding the Fourth Proportional to 239.03, 358.52 and 76.70

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Solution

The fourth proportional to 239.03, 358.52 and 76.70 is: 115.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.03 : 358.52 = 76.70 : x
  2. Step 2: Convert to fraction form
    239.03/358.52 = 76.70/x
  3. Step 3: Cross multiply
    239.03x = 358.52 × 76.70
  4. Step 4: Simplify right side
    239.03x = 27,498.10
  5. Step 5: Solve for x
    x = 27,498.10/239.03
  6. Step 6: Final answer
    x = 115.04

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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.