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Finding the Fourth Proportional to 190.52, 262.91 and 107.64

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Solution

The fourth proportional to 190.52, 262.91 and 107.64 is: 148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.52 : 262.91 = 107.64 : x
  2. Step 2: Convert to fraction form
    190.52/262.91 = 107.64/x
  3. Step 3: Cross multiply
    190.52x = 262.91 × 107.64
  4. Step 4: Simplify right side
    190.52x = 28,299.90
  5. Step 5: Solve for x
    x = 28,299.90/190.52
  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.