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Finding the Fourth Proportional to 266.26, 399.63 and 197.62

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Solution

The fourth proportional to 266.26, 399.63 and 197.62 is: 296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.26 : 399.63 = 197.62 : x
  2. Step 2: Convert to fraction form
    266.26/399.63 = 197.62/x
  3. Step 3: Cross multiply
    266.26x = 399.63 × 197.62
  4. Step 4: Simplify right side
    266.26x = 78,974.88
  5. Step 5: Solve for x
    x = 78,974.88/266.26
  6. Step 6: Final answer
    x = 296.61

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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.