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Finding the Fourth Proportional to 266.51, 367.22 and 196.44

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Solution

The fourth proportional to 266.51, 367.22 and 196.44 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.51 : 367.22 = 196.44 : x
  2. Step 2: Convert to fraction form
    266.51/367.22 = 196.44/x
  3. Step 3: Cross multiply
    266.51x = 367.22 × 196.44
  4. Step 4: Simplify right side
    266.51x = 72,136.77
  5. Step 5: Solve for x
    x = 72,136.77/266.51
  6. Step 6: Final answer
    x = 270.68

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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.