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Finding the Fourth Proportional to 190.43, 286.17 and 113.41

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Solution

The fourth proportional to 190.43, 286.17 and 113.41 is: 170.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.43 : 286.17 = 113.41 : x
  2. Step 2: Convert to fraction form
    190.43/286.17 = 113.41/x
  3. Step 3: Cross multiply
    190.43x = 286.17 × 113.41
  4. Step 4: Simplify right side
    190.43x = 32,455.26
  5. Step 5: Solve for x
    x = 32,455.26/190.43
  6. Step 6: Final answer
    x = 170.43

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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.