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Finding the Fourth Proportional to 327.88, 491.58 and 163.39

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Solution

The fourth proportional to 327.88, 491.58 and 163.39 is: 244.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 491.58 = 163.39 : x
  2. Step 2: Convert to fraction form
    327.88/491.58 = 163.39/x
  3. Step 3: Cross multiply
    327.88x = 491.58 × 163.39
  4. Step 4: Simplify right side
    327.88x = 80,319.26
  5. Step 5: Solve for x
    x = 80,319.26/327.88
  6. Step 6: Final answer
    x = 244.97

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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.