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Finding the Fourth Proportional to 271.30, 406.41 and 199.21

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Solution

The fourth proportional to 271.30, 406.41 and 199.21 is: 298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.30 : 406.41 = 199.21 : x
  2. Step 2: Convert to fraction form
    271.30/406.41 = 199.21/x
  3. Step 3: Cross multiply
    271.30x = 406.41 × 199.21
  4. Step 4: Simplify right side
    271.30x = 80,960.94
  5. Step 5: Solve for x
    x = 80,960.94/271.30
  6. Step 6: Final answer
    x = 298.42

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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.