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Finding the Fourth Proportional to 206.80, 310.07 and 69.83

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Solution

The fourth proportional to 206.80, 310.07 and 69.83 is: 104.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.80 : 310.07 = 69.83 : x
  2. Step 2: Convert to fraction form
    206.80/310.07 = 69.83/x
  3. Step 3: Cross multiply
    206.80x = 310.07 × 69.83
  4. Step 4: Simplify right side
    206.80x = 21,651.06
  5. Step 5: Solve for x
    x = 21,651.06/206.80
  6. Step 6: Final answer
    x = 104.70

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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.