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Finding the Fourth Proportional to 271.89, 408.11 and 135.09

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Solution

The fourth proportional to 271.89, 408.11 and 135.09 is: 202.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.89 : 408.11 = 135.09 : x
  2. Step 2: Convert to fraction form
    271.89/408.11 = 135.09/x
  3. Step 3: Cross multiply
    271.89x = 408.11 × 135.09
  4. Step 4: Simplify right side
    271.89x = 55,130.90
  5. Step 5: Solve for x
    x = 55,130.90/271.89
  6. Step 6: Final answer
    x = 202.77

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Why These Related Problems?

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