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Finding the Fourth Proportional to 327.42, 490.68 and 182.94

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Solution

The fourth proportional to 327.42, 490.68 and 182.94 is: 274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.42 : 490.68 = 182.94 : x
  2. Step 2: Convert to fraction form
    327.42/490.68 = 182.94/x
  3. Step 3: Cross multiply
    327.42x = 490.68 × 182.94
  4. Step 4: Simplify right side
    327.42x = 89,765.00
  5. Step 5: Solve for x
    x = 89,765.00/327.42
  6. Step 6: Final answer
    x = 274.16

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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.