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Finding the Fourth Proportional to 190.28, 262.61 and 116.60

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Solution

The fourth proportional to 190.28, 262.61 and 116.60 is: 160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.28 : 262.61 = 116.60 : x
  2. Step 2: Convert to fraction form
    190.28/262.61 = 116.60/x
  3. Step 3: Cross multiply
    190.28x = 262.61 × 116.60
  4. Step 4: Simplify right side
    190.28x = 30,620.33
  5. Step 5: Solve for x
    x = 30,620.33/190.28
  6. Step 6: Final answer
    x = 160.92

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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.