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Finding the Fourth Proportional to 232.94, 323.07 and 230.21

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Solution

The fourth proportional to 232.94, 323.07 and 230.21 is: 319.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.94 : 323.07 = 230.21 : x
  2. Step 2: Convert to fraction form
    232.94/323.07 = 230.21/x
  3. Step 3: Cross multiply
    232.94x = 323.07 × 230.21
  4. Step 4: Simplify right side
    232.94x = 74,373.97
  5. Step 5: Solve for x
    x = 74,373.97/232.94
  6. Step 6: Final answer
    x = 319.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.