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Finding the Fourth Proportional to 273.30, 408.92 and 163.22

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Solution

The fourth proportional to 273.30, 408.92 and 163.22 is: 244.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.30 : 408.92 = 163.22 : x
  2. Step 2: Convert to fraction form
    273.30/408.92 = 163.22/x
  3. Step 3: Cross multiply
    273.30x = 408.92 × 163.22
  4. Step 4: Simplify right side
    273.30x = 66,741.06
  5. Step 5: Solve for x
    x = 66,741.06/273.30
  6. Step 6: Final answer
    x = 244.20

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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.