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Finding the Fourth Proportional to 206.91, 309.83 and 115.49

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Solution

The fourth proportional to 206.91, 309.83 and 115.49 is: 172.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.91 : 309.83 = 115.49 : x
  2. Step 2: Convert to fraction form
    206.91/309.83 = 115.49/x
  3. Step 3: Cross multiply
    206.91x = 309.83 × 115.49
  4. Step 4: Simplify right side
    206.91x = 35,780.14
  5. Step 5: Solve for x
    x = 35,780.14/206.91
  6. Step 6: Final answer
    x = 172.93

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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.