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Finding the Fourth Proportional to 327.82, 491.42 and 165.32

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Solution

The fourth proportional to 327.82, 491.42 and 165.32 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.82 : 491.42 = 165.32 : x
  2. Step 2: Convert to fraction form
    327.82/491.42 = 165.32/x
  3. Step 3: Cross multiply
    327.82x = 491.42 × 165.32
  4. Step 4: Simplify right side
    327.82x = 81,241.55
  5. Step 5: Solve for x
    x = 81,241.55/327.82
  6. Step 6: Final answer
    x = 247.82

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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.