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Finding the Fourth Proportional to 233.12, 323.84 and 230.96

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Solution

The fourth proportional to 233.12, 323.84 and 230.96 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.12 : 323.84 = 230.96 : x
  2. Step 2: Convert to fraction form
    233.12/323.84 = 230.96/x
  3. Step 3: Cross multiply
    233.12x = 323.84 × 230.96
  4. Step 4: Simplify right side
    233.12x = 74,791.31
  5. Step 5: Solve for x
    x = 74,791.31/233.12
  6. Step 6: Final answer
    x = 320.83

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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.