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Finding the Fourth Proportional to 266.83, 400.17 and 120.52

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Solution

The fourth proportional to 266.83, 400.17 and 120.52 is: 180.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.83 : 400.17 = 120.52 : x
  2. Step 2: Convert to fraction form
    266.83/400.17 = 120.52/x
  3. Step 3: Cross multiply
    266.83x = 400.17 × 120.52
  4. Step 4: Simplify right side
    266.83x = 48,229.44
  5. Step 5: Solve for x
    x = 48,229.44/266.83
  6. Step 6: Final answer
    x = 180.75

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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.