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Finding the Fourth Proportional to 327.97, 491.97 and 190.97

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Solution

The fourth proportional to 327.97, 491.97 and 190.97 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.97 : 491.97 = 190.97 : x
  2. Step 2: Convert to fraction form
    327.97/491.97 = 190.97/x
  3. Step 3: Cross multiply
    327.97x = 491.97 × 190.97
  4. Step 4: Simplify right side
    327.97x = 93,951.51
  5. Step 5: Solve for x
    x = 93,951.51/327.97
  6. Step 6: Final answer
    x = 286.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.