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Finding the Fourth Proportional to 537.92, 806.90 and 191.29

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Solution

The fourth proportional to 537.92, 806.90 and 191.29 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.92 : 806.90 = 191.29 : x
  2. Step 2: Convert to fraction form
    537.92/806.90 = 191.29/x
  3. Step 3: Cross multiply
    537.92x = 806.90 × 191.29
  4. Step 4: Simplify right side
    537.92x = 154,348.93
  5. Step 5: Solve for x
    x = 154,348.93/537.92
  6. Step 6: Final answer
    x = 286.94

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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.