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Finding the Fourth Proportional to 190.38, 284.56 and 132.38

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Solution

The fourth proportional to 190.38, 284.56 and 132.38 is: 197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.38 : 284.56 = 132.38 : x
  2. Step 2: Convert to fraction form
    190.38/284.56 = 132.38/x
  3. Step 3: Cross multiply
    190.38x = 284.56 × 132.38
  4. Step 4: Simplify right side
    190.38x = 37,670.05
  5. Step 5: Solve for x
    x = 37,670.05/190.38
  6. Step 6: Final answer
    x = 197.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.