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Finding the Fourth Proportional to 217.97, 326.93 and 102.38

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Solution

The fourth proportional to 217.97, 326.93 and 102.38 is: 153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.97 : 326.93 = 102.38 : x
  2. Step 2: Convert to fraction form
    217.97/326.93 = 102.38/x
  3. Step 3: Cross multiply
    217.97x = 326.93 × 102.38
  4. Step 4: Simplify right side
    217.97x = 33,468.95
  5. Step 5: Solve for x
    x = 33,468.95/217.97
  6. Step 6: Final answer
    x = 153.55

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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.