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Finding the Fourth Proportional to 206.80, 308.15 and 185.26

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Solution

The fourth proportional to 206.80, 308.15 and 185.26 is: 276.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.80 : 308.15 = 185.26 : x
  2. Step 2: Convert to fraction form
    206.80/308.15 = 185.26/x
  3. Step 3: Cross multiply
    206.80x = 308.15 × 185.26
  4. Step 4: Simplify right side
    206.80x = 57,087.87
  5. Step 5: Solve for x
    x = 57,087.87/206.80
  6. Step 6: Final answer
    x = 276.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.