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Finding the Fourth Proportional to 266.16, 367.16 and 196.23

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Solution

The fourth proportional to 266.16, 367.16 and 196.23 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.16 : 367.16 = 196.23 : x
  2. Step 2: Convert to fraction form
    266.16/367.16 = 196.23/x
  3. Step 3: Cross multiply
    266.16x = 367.16 × 196.23
  4. Step 4: Simplify right side
    266.16x = 72,046.83
  5. Step 5: Solve for x
    x = 72,046.83/266.16
  6. Step 6: Final answer
    x = 270.69

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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.