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Finding the Fourth Proportional to 190.20, 262.48 and 112.56

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Solution

The fourth proportional to 190.20, 262.48 and 112.56 is: 155.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.20 : 262.48 = 112.56 : x
  2. Step 2: Convert to fraction form
    190.20/262.48 = 112.56/x
  3. Step 3: Cross multiply
    190.20x = 262.48 × 112.56
  4. Step 4: Simplify right side
    190.20x = 29,544.75
  5. Step 5: Solve for x
    x = 29,544.75/190.20
  6. Step 6: Final answer
    x = 155.34

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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.