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Finding the Fourth Proportional to 217.74, 326.28 and 171.90

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Solution

The fourth proportional to 217.74, 326.28 and 171.90 is: 257.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.74 : 326.28 = 171.90 : x
  2. Step 2: Convert to fraction form
    217.74/326.28 = 171.90/x
  3. Step 3: Cross multiply
    217.74x = 326.28 × 171.90
  4. Step 4: Simplify right side
    217.74x = 56,087.53
  5. Step 5: Solve for x
    x = 56,087.53/217.74
  6. Step 6: Final answer
    x = 257.59

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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.