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Finding the Fourth Proportional to 327.30, 490.84 and 96.14

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Solution

The fourth proportional to 327.30, 490.84 and 96.14 is: 144.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.30 : 490.84 = 96.14 : x
  2. Step 2: Convert to fraction form
    327.30/490.84 = 96.14/x
  3. Step 3: Cross multiply
    327.30x = 490.84 × 96.14
  4. Step 4: Simplify right side
    327.30x = 47,186.66
  5. Step 5: Solve for x
    x = 47,186.66/327.30
  6. Step 6: Final answer
    x = 144.17

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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.