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Finding the Fourth Proportional to 190.82, 286.19 and 69.06

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Solution

The fourth proportional to 190.82, 286.19 and 69.06 is: 103.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.82 : 286.19 = 69.06 : x
  2. Step 2: Convert to fraction form
    190.82/286.19 = 69.06/x
  3. Step 3: Cross multiply
    190.82x = 286.19 × 69.06
  4. Step 4: Simplify right side
    190.82x = 19,764.28
  5. Step 5: Solve for x
    x = 19,764.28/190.82
  6. Step 6: Final answer
    x = 103.58

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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.