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Finding the Fourth Proportional to 266.81, 369.91 and 252.97

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Solution

The fourth proportional to 266.81, 369.91 and 252.97 is: 350.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.81 : 369.91 = 252.97 : x
  2. Step 2: Convert to fraction form
    266.81/369.91 = 252.97/x
  3. Step 3: Cross multiply
    266.81x = 369.91 × 252.97
  4. Step 4: Simplify right side
    266.81x = 93,573.02
  5. Step 5: Solve for x
    x = 93,573.02/266.81
  6. Step 6: Final answer
    x = 350.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.