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Finding the Fourth Proportional to 190.41, 262.92 and 138.06

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Solution

The fourth proportional to 190.41, 262.92 and 138.06 is: 190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.41 : 262.92 = 138.06 : x
  2. Step 2: Convert to fraction form
    190.41/262.92 = 138.06/x
  3. Step 3: Cross multiply
    190.41x = 262.92 × 138.06
  4. Step 4: Simplify right side
    190.41x = 36,298.74
  5. Step 5: Solve for x
    x = 36,298.74/190.41
  6. Step 6: Final answer
    x = 190.63

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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.