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Finding the Fourth Proportional to 190.89, 286.09 and 105.29

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Solution

The fourth proportional to 190.89, 286.09 and 105.29 is: 157.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.89 : 286.09 = 105.29 : x
  2. Step 2: Convert to fraction form
    190.89/286.09 = 105.29/x
  3. Step 3: Cross multiply
    190.89x = 286.09 × 105.29
  4. Step 4: Simplify right side
    190.89x = 30,122.42
  5. Step 5: Solve for x
    x = 30,122.42/190.89
  6. Step 6: Final answer
    x = 157.80

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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.