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Finding the Fourth Proportional to 232.46, 349.36 and 230.02

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Solution

The fourth proportional to 232.46, 349.36 and 230.02 is: 345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.46 : 349.36 = 230.02 : x
  2. Step 2: Convert to fraction form
    232.46/349.36 = 230.02/x
  3. Step 3: Cross multiply
    232.46x = 349.36 × 230.02
  4. Step 4: Simplify right side
    232.46x = 80,359.79
  5. Step 5: Solve for x
    x = 80,359.79/232.46
  6. Step 6: Final answer
    x = 345.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.