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Finding the Fourth Proportional to 206.75, 310.13 and 109.24

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Solution

The fourth proportional to 206.75, 310.13 and 109.24 is: 163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.75 : 310.13 = 109.24 : x
  2. Step 2: Convert to fraction form
    206.75/310.13 = 109.24/x
  3. Step 3: Cross multiply
    206.75x = 310.13 × 109.24
  4. Step 4: Simplify right side
    206.75x = 33,878.60
  5. Step 5: Solve for x
    x = 33,878.60/206.75
  6. Step 6: Final answer
    x = 163.86

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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.