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Finding the Fourth Proportional to 190.73, 286.10 and 82.59

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Solution

The fourth proportional to 190.73, 286.10 and 82.59 is: 123.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.73 : 286.10 = 82.59 : x
  2. Step 2: Convert to fraction form
    190.73/286.10 = 82.59/x
  3. Step 3: Cross multiply
    190.73x = 286.10 × 82.59
  4. Step 4: Simplify right side
    190.73x = 23,628.59
  5. Step 5: Solve for x
    x = 23,628.59/190.73
  6. Step 6: Final answer
    x = 123.89

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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.