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Finding the Fourth Proportional to 190.06, 262.33 and 111.41

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Solution

The fourth proportional to 190.06, 262.33 and 111.41 is: 153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.06 : 262.33 = 111.41 : x
  2. Step 2: Convert to fraction form
    190.06/262.33 = 111.41/x
  3. Step 3: Cross multiply
    190.06x = 262.33 × 111.41
  4. Step 4: Simplify right side
    190.06x = 29,226.19
  5. Step 5: Solve for x
    x = 29,226.19/190.06
  6. Step 6: Final answer
    x = 153.77

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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.