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Finding the Fourth Proportional to 273.97, 377.77 and 249.11

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Solution

The fourth proportional to 273.97, 377.77 and 249.11 is: 343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.97 : 377.77 = 249.11 : x
  2. Step 2: Convert to fraction form
    273.97/377.77 = 249.11/x
  3. Step 3: Cross multiply
    273.97x = 377.77 × 249.11
  4. Step 4: Simplify right side
    273.97x = 94,107.43
  5. Step 5: Solve for x
    x = 94,107.43/273.97
  6. Step 6: Final answer
    x = 343.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.