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Finding the Fourth Proportional to 327.12, 490.86 and 153.60

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Solution

The fourth proportional to 327.12, 490.86 and 153.60 is: 230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.12 : 490.86 = 153.60 : x
  2. Step 2: Convert to fraction form
    327.12/490.86 = 153.60/x
  3. Step 3: Cross multiply
    327.12x = 490.86 × 153.60
  4. Step 4: Simplify right side
    327.12x = 75,396.10
  5. Step 5: Solve for x
    x = 75,396.10/327.12
  6. Step 6: Final answer
    x = 230.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.