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Finding the Fourth Proportional to 273.22, 409.91 and 205.59

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Solution

The fourth proportional to 273.22, 409.91 and 205.59 is: 308.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.22 : 409.91 = 205.59 : x
  2. Step 2: Convert to fraction form
    273.22/409.91 = 205.59/x
  3. Step 3: Cross multiply
    273.22x = 409.91 × 205.59
  4. Step 4: Simplify right side
    273.22x = 84,272.76
  5. Step 5: Solve for x
    x = 84,272.76/273.22
  6. Step 6: Final answer
    x = 308.44

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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.