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Finding the Fourth Proportional to 266.52, 367.82 and 196.55

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Solution

The fourth proportional to 266.52, 367.82 and 196.55 is: 271.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.52 : 367.82 = 196.55 : x
  2. Step 2: Convert to fraction form
    266.52/367.82 = 196.55/x
  3. Step 3: Cross multiply
    266.52x = 367.82 × 196.55
  4. Step 4: Simplify right side
    266.52x = 72,295.02
  5. Step 5: Solve for x
    x = 72,295.02/266.52
  6. Step 6: Final answer
    x = 271.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.