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Finding the Fourth Proportional to 299.14, 412.82 and 194.27

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Solution

The fourth proportional to 299.14, 412.82 and 194.27 is: 268.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.14 : 412.82 = 194.27 : x
  2. Step 2: Convert to fraction form
    299.14/412.82 = 194.27/x
  3. Step 3: Cross multiply
    299.14x = 412.82 × 194.27
  4. Step 4: Simplify right side
    299.14x = 80,198.54
  5. Step 5: Solve for x
    x = 80,198.54/299.14
  6. Step 6: Final answer
    x = 268.10

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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.