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Finding the Fourth Proportional to 266.29, 367.83 and 217.08

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Solution

The fourth proportional to 266.29, 367.83 and 217.08 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.29 : 367.83 = 217.08 : x
  2. Step 2: Convert to fraction form
    266.29/367.83 = 217.08/x
  3. Step 3: Cross multiply
    266.29x = 367.83 × 217.08
  4. Step 4: Simplify right side
    266.29x = 79,848.54
  5. Step 5: Solve for x
    x = 79,848.54/266.29
  6. Step 6: Final answer
    x = 299.86

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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.