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Finding the Fourth Proportional to 327.88, 452.51 and 189.88

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Solution

The fourth proportional to 327.88, 452.51 and 189.88 is: 262.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.88 : 452.51 = 189.88 : x
  2. Step 2: Convert to fraction form
    327.88/452.51 = 189.88/x
  3. Step 3: Cross multiply
    327.88x = 452.51 × 189.88
  4. Step 4: Simplify right side
    327.88x = 85,922.60
  5. Step 5: Solve for x
    x = 85,922.60/327.88
  6. Step 6: Final answer
    x = 262.06

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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.