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Finding the Fourth Proportional to 327.48, 451.94 and 189.48

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Solution

The fourth proportional to 327.48, 451.94 and 189.48 is: 261.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.48 : 451.94 = 189.48 : x
  2. Step 2: Convert to fraction form
    327.48/451.94 = 189.48/x
  3. Step 3: Cross multiply
    327.48x = 451.94 × 189.48
  4. Step 4: Simplify right side
    327.48x = 85,633.59
  5. Step 5: Solve for x
    x = 85,633.59/327.48
  6. Step 6: Final answer
    x = 261.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.