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Finding the Fourth Proportional to 271.98, 408.09 and 109.80

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Solution

The fourth proportional to 271.98, 408.09 and 109.80 is: 164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271.98 : 408.09 = 109.80 : x
  2. Step 2: Convert to fraction form
    271.98/408.09 = 109.80/x
  3. Step 3: Cross multiply
    271.98x = 408.09 × 109.80
  4. Step 4: Simplify right side
    271.98x = 44,808.28
  5. Step 5: Solve for x
    x = 44,808.28/271.98
  6. Step 6: Final answer
    x = 164.75

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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.