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Finding the Fourth Proportional to 190.44, 262.78 and 107.56

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Solution

The fourth proportional to 190.44, 262.78 and 107.56 is: 148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.44 : 262.78 = 107.56 : x
  2. Step 2: Convert to fraction form
    190.44/262.78 = 107.56/x
  3. Step 3: Cross multiply
    190.44x = 262.78 × 107.56
  4. Step 4: Simplify right side
    190.44x = 28,264.62
  5. Step 5: Solve for x
    x = 28,264.62/190.44
  6. Step 6: Final answer
    x = 148.42

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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.