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Finding the Fourth Proportional to 190.54, 262.90 and 116.73

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Solution

The fourth proportional to 190.54, 262.90 and 116.73 is: 161.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 262.90 = 116.73 : x
  2. Step 2: Convert to fraction form
    190.54/262.90 = 116.73/x
  3. Step 3: Cross multiply
    190.54x = 262.90 × 116.73
  4. Step 4: Simplify right side
    190.54x = 30,688.32
  5. Step 5: Solve for x
    x = 30,688.32/190.54
  6. Step 6: Final answer
    x = 161.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.