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Finding the Fourth Proportional to 190.98, 286.47 and 149.82

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Solution

The fourth proportional to 190.98, 286.47 and 149.82 is: 224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.98 : 286.47 = 149.82 : x
  2. Step 2: Convert to fraction form
    190.98/286.47 = 149.82/x
  3. Step 3: Cross multiply
    190.98x = 286.47 × 149.82
  4. Step 4: Simplify right side
    190.98x = 42,918.94
  5. Step 5: Solve for x
    x = 42,918.94/190.98
  6. Step 6: Final answer
    x = 224.73

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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.