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Finding the Fourth Proportional to 327.12, 490.64 and 107.69

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Solution

The fourth proportional to 327.12, 490.64 and 107.69 is: 161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 490.64 = 107.69 : x
  2. Step 2: Convert to fraction form
    327.12/490.64 = 107.69/x
  3. Step 3: Cross multiply
    327.12x = 490.64 × 107.69
  4. Step 4: Simplify right side
    327.12x = 52,838.24
  5. Step 5: Solve for x
    x = 52,838.24/327.12
  6. Step 6: Final answer
    x = 161.53

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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.