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Finding the Fourth Proportional to 190.41, 262.78 and 106.40

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Solution

The fourth proportional to 190.41, 262.78 and 106.40 is: 146.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.41 : 262.78 = 106.40 : x
  2. Step 2: Convert to fraction form
    190.41/262.78 = 106.40/x
  3. Step 3: Cross multiply
    190.41x = 262.78 × 106.40
  4. Step 4: Simplify right side
    190.41x = 27,958.21
  5. Step 5: Solve for x
    x = 27,958.21/190.41
  6. Step 6: Final answer
    x = 146.83

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Why These Related Problems?

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