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Finding the Fourth Proportional to 217.82, 326.99 and 102.49

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Solution

The fourth proportional to 217.82, 326.99 and 102.49 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 326.99 = 102.49 : x
  2. Step 2: Convert to fraction form
    217.82/326.99 = 102.49/x
  3. Step 3: Cross multiply
    217.82x = 326.99 × 102.49
  4. Step 4: Simplify right side
    217.82x = 33,513.21
  5. Step 5: Solve for x
    x = 33,513.21/217.82
  6. Step 6: Final answer
    x = 153.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.