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Finding the Fourth Proportional to 266.76, 367.84 and 217.48

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Solution

The fourth proportional to 266.76, 367.84 and 217.48 is: 299.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.76 : 367.84 = 217.48 : x
  2. Step 2: Convert to fraction form
    266.76/367.84 = 217.48/x
  3. Step 3: Cross multiply
    266.76x = 367.84 × 217.48
  4. Step 4: Simplify right side
    266.76x = 79,997.84
  5. Step 5: Solve for x
    x = 79,997.84/266.76
  6. Step 6: Final answer
    x = 299.89

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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.