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Finding the Fourth Proportional to 206.75, 310.22 and 69.81

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Solution

The fourth proportional to 206.75, 310.22 and 69.81 is: 104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 310.22 = 69.81 : x
  2. Step 2: Convert to fraction form
    206.75/310.22 = 69.81/x
  3. Step 3: Cross multiply
    206.75x = 310.22 × 69.81
  4. Step 4: Simplify right side
    206.75x = 21,656.85
  5. Step 5: Solve for x
    x = 21,656.85/206.75
  6. Step 6: Final answer
    x = 104.75

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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.