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Finding the Fourth Proportional to 190.09, 262.31 and 106.06

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Solution

The fourth proportional to 190.09, 262.31 and 106.06 is: 146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.09 : 262.31 = 106.06 : x
  2. Step 2: Convert to fraction form
    190.09/262.31 = 106.06/x
  3. Step 3: Cross multiply
    190.09x = 262.31 × 106.06
  4. Step 4: Simplify right side
    190.09x = 27,821.06
  5. Step 5: Solve for x
    x = 27,821.06/190.09
  6. Step 6: Final answer
    x = 146.36

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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.