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Finding the Fourth Proportional to 273.98, 378.12 and 163.44

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Solution

The fourth proportional to 273.98, 378.12 and 163.44 is: 225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 378.12 = 163.44 : x
  2. Step 2: Convert to fraction form
    273.98/378.12 = 163.44/x
  3. Step 3: Cross multiply
    273.98x = 378.12 × 163.44
  4. Step 4: Simplify right side
    273.98x = 61,799.93
  5. Step 5: Solve for x
    x = 61,799.93/273.98
  6. Step 6: Final answer
    x = 225.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.