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Finding the Fourth Proportional to 273.93, 378.02 and 163.34

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Solution

The fourth proportional to 273.93, 378.02 and 163.34 is: 225.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.93 : 378.02 = 163.34 : x
  2. Step 2: Convert to fraction form
    273.93/378.02 = 163.34/x
  3. Step 3: Cross multiply
    273.93x = 378.02 × 163.34
  4. Step 4: Simplify right side
    273.93x = 61,745.87
  5. Step 5: Solve for x
    x = 61,745.87/273.93
  6. Step 6: Final answer
    x = 225.41

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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.