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Finding the Fourth Proportional to 206.62, 309.89 and 166.28

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Solution

The fourth proportional to 206.62, 309.89 and 166.28 is: 249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.62 : 309.89 = 166.28 : x
  2. Step 2: Convert to fraction form
    206.62/309.89 = 166.28/x
  3. Step 3: Cross multiply
    206.62x = 309.89 × 166.28
  4. Step 4: Simplify right side
    206.62x = 51,527.38
  5. Step 5: Solve for x
    x = 51,527.38/206.62
  6. Step 6: Final answer
    x = 249.39

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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.