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Finding the Fourth Proportional to 266.75, 400.11 and 84.15

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Solution

The fourth proportional to 266.75, 400.11 and 84.15 is: 126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.75 : 400.11 = 84.15 : x
  2. Step 2: Convert to fraction form
    266.75/400.11 = 84.15/x
  3. Step 3: Cross multiply
    266.75x = 400.11 × 84.15
  4. Step 4: Simplify right side
    266.75x = 33,669.26
  5. Step 5: Solve for x
    x = 33,669.26/266.75
  6. Step 6: Final answer
    x = 126.22

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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.