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Finding the Fourth Proportional to 327.23, 490.86 and 96.15

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Solution

The fourth proportional to 327.23, 490.86 and 96.15 is: 144.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.23 : 490.86 = 96.15 : x
  2. Step 2: Convert to fraction form
    327.23/490.86 = 96.15/x
  3. Step 3: Cross multiply
    327.23x = 490.86 × 96.15
  4. Step 4: Simplify right side
    327.23x = 47,196.19
  5. Step 5: Solve for x
    x = 47,196.19/327.23
  6. Step 6: Final answer
    x = 144.23

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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.