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Finding the Fourth Proportional to 266.09, 398.18 and 197.44

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Solution

The fourth proportional to 266.09, 398.18 and 197.44 is: 295.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.09 : 398.18 = 197.44 : x
  2. Step 2: Convert to fraction form
    266.09/398.18 = 197.44/x
  3. Step 3: Cross multiply
    266.09x = 398.18 × 197.44
  4. Step 4: Simplify right side
    266.09x = 78,616.16
  5. Step 5: Solve for x
    x = 78,616.16/266.09
  6. Step 6: Final answer
    x = 295.46

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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.