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Finding the Fourth Proportional to 266.19, 367.17 and 167.78

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Solution

The fourth proportional to 266.19, 367.17 and 167.78 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.19 : 367.17 = 167.78 : x
  2. Step 2: Convert to fraction form
    266.19/367.17 = 167.78/x
  3. Step 3: Cross multiply
    266.19x = 367.17 × 167.78
  4. Step 4: Simplify right side
    266.19x = 61,601.95
  5. Step 5: Solve for x
    x = 61,601.95/266.19
  6. Step 6: Final answer
    x = 231.42

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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.