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Finding the Fourth Proportional to 190.14, 262.37 and 140.94

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Solution

The fourth proportional to 190.14, 262.37 and 140.94 is: 194.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.14 : 262.37 = 140.94 : x
  2. Step 2: Convert to fraction form
    190.14/262.37 = 140.94/x
  3. Step 3: Cross multiply
    190.14x = 262.37 × 140.94
  4. Step 4: Simplify right side
    190.14x = 36,977.72
  5. Step 5: Solve for x
    x = 36,977.72/190.14
  6. Step 6: Final answer
    x = 194.48

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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.