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Finding the Fourth Proportional to 273.74, 409.68 and 205.09

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Solution

The fourth proportional to 273.74, 409.68 and 205.09 is: 306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.74 : 409.68 = 205.09 : x
  2. Step 2: Convert to fraction form
    273.74/409.68 = 205.09/x
  3. Step 3: Cross multiply
    273.74x = 409.68 × 205.09
  4. Step 4: Simplify right side
    273.74x = 84,020.25
  5. Step 5: Solve for x
    x = 84,020.25/273.74
  6. Step 6: Final answer
    x = 306.94

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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.