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Finding the Fourth Proportional to 273.94, 378.05 and 161.97

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Solution

The fourth proportional to 273.94, 378.05 and 161.97 is: 223.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.94 : 378.05 = 161.97 : x
  2. Step 2: Convert to fraction form
    273.94/378.05 = 161.97/x
  3. Step 3: Cross multiply
    273.94x = 378.05 × 161.97
  4. Step 4: Simplify right side
    273.94x = 61,232.76
  5. Step 5: Solve for x
    x = 61,232.76/273.94
  6. Step 6: Final answer
    x = 223.53

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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.