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Finding the Fourth Proportional to 273.98, 377.56 and 204.12

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Solution

The fourth proportional to 273.98, 377.56 and 204.12 is: 281.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.98 : 377.56 = 204.12 : x
  2. Step 2: Convert to fraction form
    273.98/377.56 = 204.12/x
  3. Step 3: Cross multiply
    273.98x = 377.56 × 204.12
  4. Step 4: Simplify right side
    273.98x = 77,067.80
  5. Step 5: Solve for x
    x = 77,067.80/273.98
  6. Step 6: Final answer
    x = 281.29

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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.