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Finding the Fourth Proportional to 271.04, 406.26 and 206.78

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Solution

The fourth proportional to 271.04, 406.26 and 206.78 is: 309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.04 : 406.26 = 206.78 : x
  2. Step 2: Convert to fraction form
    271.04/406.26 = 206.78/x
  3. Step 3: Cross multiply
    271.04x = 406.26 × 206.78
  4. Step 4: Simplify right side
    271.04x = 84,006.44
  5. Step 5: Solve for x
    x = 84,006.44/271.04
  6. Step 6: Final answer
    x = 309.94

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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.