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Finding the Fourth Proportional to 273.82, 378.24 and 254.38

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Solution

The fourth proportional to 273.82, 378.24 and 254.38 is: 351.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.82 : 378.24 = 254.38 : x
  2. Step 2: Convert to fraction form
    273.82/378.24 = 254.38/x
  3. Step 3: Cross multiply
    273.82x = 378.24 × 254.38
  4. Step 4: Simplify right side
    273.82x = 96,216.69
  5. Step 5: Solve for x
    x = 96,216.69/273.82
  6. Step 6: Final answer
    x = 351.39

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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.