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Finding the Fourth Proportional to 190.97, 286.49 and 69.24

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Solution

The fourth proportional to 190.97, 286.49 and 69.24 is: 103.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.97 : 286.49 = 69.24 : x
  2. Step 2: Convert to fraction form
    190.97/286.49 = 69.24/x
  3. Step 3: Cross multiply
    190.97x = 286.49 × 69.24
  4. Step 4: Simplify right side
    190.97x = 19,835.81
  5. Step 5: Solve for x
    x = 19,835.81/190.97
  6. Step 6: Final answer
    x = 103.87

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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.