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Finding the Fourth Proportional to 232.81, 321.29 and 144.31

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Solution

The fourth proportional to 232.81, 321.29 and 144.31 is: 199.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.81 : 321.29 = 144.31 : x
  2. Step 2: Convert to fraction form
    232.81/321.29 = 144.31/x
  3. Step 3: Cross multiply
    232.81x = 321.29 × 144.31
  4. Step 4: Simplify right side
    232.81x = 46,363.84
  5. Step 5: Solve for x
    x = 46,363.84/232.81
  6. Step 6: Final answer
    x = 199.15

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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.