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Finding the Fourth Proportional to 273.80, 378.34 and 204.14

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Solution

The fourth proportional to 273.80, 378.34 and 204.14 is: 282.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.80 : 378.34 = 204.14 : x
  2. Step 2: Convert to fraction form
    273.80/378.34 = 204.14/x
  3. Step 3: Cross multiply
    273.80x = 378.34 × 204.14
  4. Step 4: Simplify right side
    273.80x = 77,234.33
  5. Step 5: Solve for x
    x = 77,234.33/273.80
  6. Step 6: Final answer
    x = 282.08

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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.