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Finding the Fourth Proportional to 190.87, 286.49 and 88.23

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Solution

The fourth proportional to 190.87, 286.49 and 88.23 is: 132.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.87 : 286.49 = 88.23 : x
  2. Step 2: Convert to fraction form
    190.87/286.49 = 88.23/x
  3. Step 3: Cross multiply
    190.87x = 286.49 × 88.23
  4. Step 4: Simplify right side
    190.87x = 25,275.14
  5. Step 5: Solve for x
    x = 25,275.14/190.87
  6. Step 6: Final answer
    x = 132.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.