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Finding the Fourth Proportional to 206.62, 310.02 and 109.20

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Solution

The fourth proportional to 206.62, 310.02 and 109.20 is: 163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.62 : 310.02 = 109.20 : x
  2. Step 2: Convert to fraction form
    206.62/310.02 = 109.20/x
  3. Step 3: Cross multiply
    206.62x = 310.02 × 109.20
  4. Step 4: Simplify right side
    206.62x = 33,854.18
  5. Step 5: Solve for x
    x = 33,854.18/206.62
  6. Step 6: Final answer
    x = 163.85

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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.