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Finding the Fourth Proportional to 273.83, 378.32 and 251.96

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Solution

The fourth proportional to 273.83, 378.32 and 251.96 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.83 : 378.32 = 251.96 : x
  2. Step 2: Convert to fraction form
    273.83/378.32 = 251.96/x
  3. Step 3: Cross multiply
    273.83x = 378.32 × 251.96
  4. Step 4: Simplify right side
    273.83x = 95,318.36
  5. Step 5: Solve for x
    x = 95,318.36/273.83
  6. Step 6: Final answer
    x = 348.10

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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.