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Finding the Fourth Proportional to 190.42, 262.24 and 189.82

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Solution

The fourth proportional to 190.42, 262.24 and 189.82 is: 261.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 262.24 = 189.82 : x
  2. Step 2: Convert to fraction form
    190.42/262.24 = 189.82/x
  3. Step 3: Cross multiply
    190.42x = 262.24 × 189.82
  4. Step 4: Simplify right side
    190.42x = 49,778.40
  5. Step 5: Solve for x
    x = 49,778.40/190.42
  6. Step 6: Final answer
    x = 261.41

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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.