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Finding the Fourth Proportional to 190.45, 262.83 and 116.83

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Solution

The fourth proportional to 190.45, 262.83 and 116.83 is: 161.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.45 : 262.83 = 116.83 : x
  2. Step 2: Convert to fraction form
    190.45/262.83 = 116.83/x
  3. Step 3: Cross multiply
    190.45x = 262.83 × 116.83
  4. Step 4: Simplify right side
    190.45x = 30,706.43
  5. Step 5: Solve for x
    x = 30,706.43/190.45
  6. Step 6: Final answer
    x = 161.23

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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.