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Finding the Fourth Proportional to 206.26, 309.56 and 108.87

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Solution

The fourth proportional to 206.26, 309.56 and 108.87 is: 163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.26 : 309.56 = 108.87 : x
  2. Step 2: Convert to fraction form
    206.26/309.56 = 108.87/x
  3. Step 3: Cross multiply
    206.26x = 309.56 × 108.87
  4. Step 4: Simplify right side
    206.26x = 33,700.09
  5. Step 5: Solve for x
    x = 33,700.09/206.26
  6. Step 6: Final answer
    x = 163.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.