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Finding the Fourth Proportional to 329.11, 454.12 and 189.21

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Solution

The fourth proportional to 329.11, 454.12 and 189.21 is: 261.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.11 : 454.12 = 189.21 : x
  2. Step 2: Convert to fraction form
    329.11/454.12 = 189.21/x
  3. Step 3: Cross multiply
    329.11x = 454.12 × 189.21
  4. Step 4: Simplify right side
    329.11x = 85,924.05
  5. Step 5: Solve for x
    x = 85,924.05/329.11
  6. Step 6: Final answer
    x = 261.08

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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.