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Finding the Fourth Proportional to 329.09, 454.19 and 189.22

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Solution

The fourth proportional to 329.09, 454.19 and 189.22 is: 261.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.09 : 454.19 = 189.22 : x
  2. Step 2: Convert to fraction form
    329.09/454.19 = 189.22/x
  3. Step 3: Cross multiply
    329.09x = 454.19 × 189.22
  4. Step 4: Simplify right side
    329.09x = 85,939.75
  5. Step 5: Solve for x
    x = 85,939.75/329.09
  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.