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Finding the Fourth Proportional to 232.25, 320.08 and 190.56

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Solution

The fourth proportional to 232.25, 320.08 and 190.56 is: 262.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.25 : 320.08 = 190.56 : x
  2. Step 2: Convert to fraction form
    232.25/320.08 = 190.56/x
  3. Step 3: Cross multiply
    232.25x = 320.08 × 190.56
  4. Step 4: Simplify right side
    232.25x = 60,993.97
  5. Step 5: Solve for x
    x = 60,993.97/232.25
  6. Step 6: Final answer
    x = 262.62

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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.