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Finding the Fourth Proportional to 273.96, 378.03 and 163.39

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Solution

The fourth proportional to 273.96, 378.03 and 163.39 is: 225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.96 : 378.03 = 163.39 : x
  2. Step 2: Convert to fraction form
    273.96/378.03 = 163.39/x
  3. Step 3: Cross multiply
    273.96x = 378.03 × 163.39
  4. Step 4: Simplify right side
    273.96x = 61,766.32
  5. Step 5: Solve for x
    x = 61,766.32/273.96
  6. Step 6: Final answer
    x = 225.46

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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.