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Finding the Fourth Proportional to 327.64, 490.62 and 188.44

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Solution

The fourth proportional to 327.64, 490.62 and 188.44 is: 282.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.64 : 490.62 = 188.44 : x
  2. Step 2: Convert to fraction form
    327.64/490.62 = 188.44/x
  3. Step 3: Cross multiply
    327.64x = 490.62 × 188.44
  4. Step 4: Simplify right side
    327.64x = 92,452.43
  5. Step 5: Solve for x
    x = 92,452.43/327.64
  6. Step 6: Final answer
    x = 282.18

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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.