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Finding the Fourth Proportional to 327.81, 452.31 and 195.07

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Solution

The fourth proportional to 327.81, 452.31 and 195.07 is: 269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.81 : 452.31 = 195.07 : x
  2. Step 2: Convert to fraction form
    327.81/452.31 = 195.07/x
  3. Step 3: Cross multiply
    327.81x = 452.31 × 195.07
  4. Step 4: Simplify right side
    327.81x = 88,232.11
  5. Step 5: Solve for x
    x = 88,232.11/327.81
  6. Step 6: Final answer
    x = 269.16

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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.