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Finding the Fourth Proportional to 232.53, 323.04 and 230.42

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Solution

The fourth proportional to 232.53, 323.04 and 230.42 is: 320.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.53 : 323.04 = 230.42 : x
  2. Step 2: Convert to fraction form
    232.53/323.04 = 230.42/x
  3. Step 3: Cross multiply
    232.53x = 323.04 × 230.42
  4. Step 4: Simplify right side
    232.53x = 74,434.88
  5. Step 5: Solve for x
    x = 74,434.88/232.53
  6. Step 6: Final answer
    x = 320.11

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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.