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Finding the Fourth Proportional to 327.20, 490.88 and 183.02

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Solution

The fourth proportional to 327.20, 490.88 and 183.02 is: 274.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.20 : 490.88 = 183.02 : x
  2. Step 2: Convert to fraction form
    327.20/490.88 = 183.02/x
  3. Step 3: Cross multiply
    327.20x = 490.88 × 183.02
  4. Step 4: Simplify right side
    327.20x = 89,840.86
  5. Step 5: Solve for x
    x = 89,840.86/327.20
  6. Step 6: Final answer
    x = 274.57

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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.