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Finding the Fourth Proportional to 190.19, 262.46 and 106.17

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Solution

The fourth proportional to 190.19, 262.46 and 106.17 is: 146.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.19 : 262.46 = 106.17 : x
  2. Step 2: Convert to fraction form
    190.19/262.46 = 106.17/x
  3. Step 3: Cross multiply
    190.19x = 262.46 × 106.17
  4. Step 4: Simplify right side
    190.19x = 27,863.54
  5. Step 5: Solve for x
    x = 27,863.54/190.19
  6. Step 6: Final answer
    x = 146.51

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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.