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Finding the Fourth Proportional to 271.91, 375.41 and 209.62

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Solution

The fourth proportional to 271.91, 375.41 and 209.62 is: 289.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.91 : 375.41 = 209.62 : x
  2. Step 2: Convert to fraction form
    271.91/375.41 = 209.62/x
  3. Step 3: Cross multiply
    271.91x = 375.41 × 209.62
  4. Step 4: Simplify right side
    271.91x = 78,692.40
  5. Step 5: Solve for x
    x = 78,692.40/271.91
  6. Step 6: Final answer
    x = 289.41

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Why These Related Problems?

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