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Finding the Fourth Proportional to 249.35, 374.28 and 133.77

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Solution

The fourth proportional to 249.35, 374.28 and 133.77 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.35 : 374.28 = 133.77 : x
  2. Step 2: Convert to fraction form
    249.35/374.28 = 133.77/x
  3. Step 3: Cross multiply
    249.35x = 374.28 × 133.77
  4. Step 4: Simplify right side
    249.35x = 50,067.44
  5. Step 5: Solve for x
    x = 50,067.44/249.35
  6. Step 6: Final answer
    x = 200.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.