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Finding the Fourth Proportional to 266.87, 400.34 and 84.29

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Solution

The fourth proportional to 266.87, 400.34 and 84.29 is: 126.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.87 : 400.34 = 84.29 : x
  2. Step 2: Convert to fraction form
    266.87/400.34 = 84.29/x
  3. Step 3: Cross multiply
    266.87x = 400.34 × 84.29
  4. Step 4: Simplify right side
    266.87x = 33,742.24
  5. Step 5: Solve for x
    x = 33,742.24/266.87
  6. Step 6: Final answer
    x = 126.44

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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.