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Finding the Fourth Proportional to 206.27, 309.56 and 115.05

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Solution

The fourth proportional to 206.27, 309.56 and 115.05 is: 172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.27 : 309.56 = 115.05 : x
  2. Step 2: Convert to fraction form
    206.27/309.56 = 115.05/x
  3. Step 3: Cross multiply
    206.27x = 309.56 × 115.05
  4. Step 4: Simplify right side
    206.27x = 35,614.88
  5. Step 5: Solve for x
    x = 35,614.88/206.27
  6. Step 6: Final answer
    x = 172.66

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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.