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Finding the Fourth Proportional to 190.30, 262.61 and 102.97

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Solution

The fourth proportional to 190.30, 262.61 and 102.97 is: 142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.30 : 262.61 = 102.97 : x
  2. Step 2: Convert to fraction form
    190.30/262.61 = 102.97/x
  3. Step 3: Cross multiply
    190.30x = 262.61 × 102.97
  4. Step 4: Simplify right side
    190.30x = 27,039.58
  5. Step 5: Solve for x
    x = 27,039.58/190.30
  6. Step 6: Final answer
    x = 142.09

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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.