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Finding the Fourth Proportional to 207.67, 311.44 and 68.82

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Solution

The fourth proportional to 207.67, 311.44 and 68.82 is: 103.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.67 : 311.44 = 68.82 : x
  2. Step 2: Convert to fraction form
    207.67/311.44 = 68.82/x
  3. Step 3: Cross multiply
    207.67x = 311.44 × 68.82
  4. Step 4: Simplify right side
    207.67x = 21,432.22
  5. Step 5: Solve for x
    x = 21,432.22/207.67
  6. Step 6: Final answer
    x = 103.20

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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.