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Finding the Fourth Proportional to 327.70, 452.10 and 196.66

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Solution

The fourth proportional to 327.70, 452.10 and 196.66 is: 271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.70 : 452.10 = 196.66 : x
  2. Step 2: Convert to fraction form
    327.70/452.10 = 196.66/x
  3. Step 3: Cross multiply
    327.70x = 452.10 × 196.66
  4. Step 4: Simplify right side
    327.70x = 88,909.99
  5. Step 5: Solve for x
    x = 88,909.99/327.70
  6. Step 6: Final answer
    x = 271.32

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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.