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Finding the Fourth Proportional to 190.33, 285.00 and 132.38

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Solution

The fourth proportional to 190.33, 285.00 and 132.38 is: 198.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.33 : 285.00 = 132.38 : x
  2. Step 2: Convert to fraction form
    190.33/285.00 = 132.38/x
  3. Step 3: Cross multiply
    190.33x = 285.00 × 132.38
  4. Step 4: Simplify right side
    190.33x = 37,727.97
  5. Step 5: Solve for x
    x = 37,727.97/190.33
  6. Step 6: Final answer
    x = 198.22

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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.