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Finding the Fourth Proportional to 190.12, 283.25 and 182.44

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Solution

The fourth proportional to 190.12, 283.25 and 182.44 is: 271.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.12 : 283.25 = 182.44 : x
  2. Step 2: Convert to fraction form
    190.12/283.25 = 182.44/x
  3. Step 3: Cross multiply
    190.12x = 283.25 × 182.44
  4. Step 4: Simplify right side
    190.12x = 51,676.13
  5. Step 5: Solve for x
    x = 51,676.13/190.12
  6. Step 6: Final answer
    x = 271.81

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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.