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Finding the Fourth Proportional to 232.28, 320.51 and 144.92

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Solution

The fourth proportional to 232.28, 320.51 and 144.92 is: 199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.28 : 320.51 = 144.92 : x
  2. Step 2: Convert to fraction form
    232.28/320.51 = 144.92/x
  3. Step 3: Cross multiply
    232.28x = 320.51 × 144.92
  4. Step 4: Simplify right side
    232.28x = 46,448.31
  5. Step 5: Solve for x
    x = 46,448.31/232.28
  6. Step 6: Final answer
    x = 199.97

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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.