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Finding the Fourth Proportional to 206.98, 310.42 and 76.96

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Solution

The fourth proportional to 206.98, 310.42 and 76.96 is: 115.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.98 : 310.42 = 76.96 : x
  2. Step 2: Convert to fraction form
    206.98/310.42 = 76.96/x
  3. Step 3: Cross multiply
    206.98x = 310.42 × 76.96
  4. Step 4: Simplify right side
    206.98x = 23,889.92
  5. Step 5: Solve for x
    x = 23,889.92/206.98
  6. Step 6: Final answer
    x = 115.42

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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.