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Finding the Fourth Proportional to 266.91, 367.92 and 196.77

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Solution

The fourth proportional to 266.91, 367.92 and 196.77 is: 271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.91 : 367.92 = 196.77 : x
  2. Step 2: Convert to fraction form
    266.91/367.92 = 196.77/x
  3. Step 3: Cross multiply
    266.91x = 367.92 × 196.77
  4. Step 4: Simplify right side
    266.91x = 72,395.62
  5. Step 5: Solve for x
    x = 72,395.62/266.91
  6. Step 6: Final answer
    x = 271.24

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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.