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Finding the Fourth Proportional to 273.97, 378.10 and 163.45

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Solution

The fourth proportional to 273.97, 378.10 and 163.45 is: 225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 378.10 = 163.45 : x
  2. Step 2: Convert to fraction form
    273.97/378.10 = 163.45/x
  3. Step 3: Cross multiply
    273.97x = 378.10 × 163.45
  4. Step 4: Simplify right side
    273.97x = 61,800.45
  5. Step 5: Solve for x
    x = 61,800.45/273.97
  6. Step 6: Final answer
    x = 225.57

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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.