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Finding the Fourth Proportional to 190.72, 286.20 and 82.54

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Solution

The fourth proportional to 190.72, 286.20 and 82.54 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.72 : 286.20 = 82.54 : x
  2. Step 2: Convert to fraction form
    190.72/286.20 = 82.54/x
  3. Step 3: Cross multiply
    190.72x = 286.20 × 82.54
  4. Step 4: Simplify right side
    190.72x = 23,622.95
  5. Step 5: Solve for x
    x = 23,622.95/190.72
  6. Step 6: Final answer
    x = 123.86

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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.