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Finding the Fourth Proportional to 190.42, 262.92 and 120.52

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Solution

The fourth proportional to 190.42, 262.92 and 120.52 is: 166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 262.92 = 120.52 : x
  2. Step 2: Convert to fraction form
    190.42/262.92 = 120.52/x
  3. Step 3: Cross multiply
    190.42x = 262.92 × 120.52
  4. Step 4: Simplify right side
    190.42x = 31,687.12
  5. Step 5: Solve for x
    x = 31,687.12/190.42
  6. Step 6: Final answer
    x = 166.41

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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.