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Finding the Fourth Proportional to 232.23, 320.10 and 190.71

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Solution

The fourth proportional to 232.23, 320.10 and 190.71 is: 262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.23 : 320.10 = 190.71 : x
  2. Step 2: Convert to fraction form
    232.23/320.10 = 190.71/x
  3. Step 3: Cross multiply
    232.23x = 320.10 × 190.71
  4. Step 4: Simplify right side
    232.23x = 61,046.27
  5. Step 5: Solve for x
    x = 61,046.27/232.23
  6. Step 6: Final answer
    x = 262.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.