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Finding the Fourth Proportional to 329.10, 453.96 and 204.54

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Solution

The fourth proportional to 329.10, 453.96 and 204.54 is: 282.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.10 : 453.96 = 204.54 : x
  2. Step 2: Convert to fraction form
    329.10/453.96 = 204.54/x
  3. Step 3: Cross multiply
    329.10x = 453.96 × 204.54
  4. Step 4: Simplify right side
    329.10x = 92,852.98
  5. Step 5: Solve for x
    x = 92,852.98/329.10
  6. Step 6: Final answer
    x = 282.14

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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.