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Finding the Fourth Proportional to 273.64, 378.12 and 217.80

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Solution

The fourth proportional to 273.64, 378.12 and 217.80 is: 300.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.64 : 378.12 = 217.80 : x
  2. Step 2: Convert to fraction form
    273.64/378.12 = 217.80/x
  3. Step 3: Cross multiply
    273.64x = 378.12 × 217.80
  4. Step 4: Simplify right side
    273.64x = 82,354.54
  5. Step 5: Solve for x
    x = 82,354.54/273.64
  6. Step 6: Final answer
    x = 300.96

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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.