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Finding the Fourth Proportional to 190.56, 262.94 and 107.65

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Solution

The fourth proportional to 190.56, 262.94 and 107.65 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.56 : 262.94 = 107.65 : x
  2. Step 2: Convert to fraction form
    190.56/262.94 = 107.65/x
  3. Step 3: Cross multiply
    190.56x = 262.94 × 107.65
  4. Step 4: Simplify right side
    190.56x = 28,305.49
  5. Step 5: Solve for x
    x = 28,305.49/190.56
  6. Step 6: Final answer
    x = 148.54

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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.