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Finding the Fourth Proportional to 190.85, 286.09 and 82.71

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Solution

The fourth proportional to 190.85, 286.09 and 82.71 is: 123.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.85 : 286.09 = 82.71 : x
  2. Step 2: Convert to fraction form
    190.85/286.09 = 82.71/x
  3. Step 3: Cross multiply
    190.85x = 286.09 × 82.71
  4. Step 4: Simplify right side
    190.85x = 23,662.30
  5. Step 5: Solve for x
    x = 23,662.30/190.85
  6. Step 6: Final answer
    x = 123.99

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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.