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Finding the Fourth Proportional to 327.21, 491.73 and 165

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Solution

The fourth proportional to 327.21, 491.73 and 165 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.21 : 491.73 = 165 : x
  2. Step 2: Convert to fraction form
    327.21/491.73 = 165/x
  3. Step 3: Cross multiply
    327.21x = 491.73 × 165
  4. Step 4: Simplify right side
    327.21x = 81,135.45
  5. Step 5: Solve for x
    x = 81,135.45/327.21
  6. Step 6: Final answer
    x = 247.96

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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.