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Finding the Fourth Proportional to 190.82, 286.17 and 69.08

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Solution

The fourth proportional to 190.82, 286.17 and 69.08 is: 103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 286.17 = 69.08 : x
  2. Step 2: Convert to fraction form
    190.82/286.17 = 69.08/x
  3. Step 3: Cross multiply
    190.82x = 286.17 × 69.08
  4. Step 4: Simplify right side
    190.82x = 19,768.62
  5. Step 5: Solve for x
    x = 19,768.62/190.82
  6. Step 6: Final answer
    x = 103.60

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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.