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Finding the Fourth Proportional to 329.01, 453.95 and 196.19

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Solution

The fourth proportional to 329.01, 453.95 and 196.19 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.01 : 453.95 = 196.19 : x
  2. Step 2: Convert to fraction form
    329.01/453.95 = 196.19/x
  3. Step 3: Cross multiply
    329.01x = 453.95 × 196.19
  4. Step 4: Simplify right side
    329.01x = 89,060.60
  5. Step 5: Solve for x
    x = 89,060.60/329.01
  6. Step 6: Final answer
    x = 270.69

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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.