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Finding the Fourth Proportional to 206.09, 309.27 and 137.65

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Solution

The fourth proportional to 206.09, 309.27 and 137.65 is: 206.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.09 : 309.27 = 137.65 : x
  2. Step 2: Convert to fraction form
    206.09/309.27 = 137.65/x
  3. Step 3: Cross multiply
    206.09x = 309.27 × 137.65
  4. Step 4: Simplify right side
    206.09x = 42,570.56
  5. Step 5: Solve for x
    x = 42,570.56/206.09
  6. Step 6: Final answer
    x = 206.56

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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.