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Finding the Fourth Proportional to 329.11, 454.17 and 189.23

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Solution

The fourth proportional to 329.11, 454.17 and 189.23 is: 261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.11 : 454.17 = 189.23 : x
  2. Step 2: Convert to fraction form
    329.11/454.17 = 189.23/x
  3. Step 3: Cross multiply
    329.11x = 454.17 × 189.23
  4. Step 4: Simplify right side
    329.11x = 85,942.59
  5. Step 5: Solve for x
    x = 85,942.59/329.11
  6. Step 6: Final answer
    x = 261.14

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Why These Related Problems?

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