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Finding the Fourth Proportional to 232.20, 345.51 and 231.45

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Solution

The fourth proportional to 232.20, 345.51 and 231.45 is: 344.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.20 : 345.51 = 231.45 : x
  2. Step 2: Convert to fraction form
    232.20/345.51 = 231.45/x
  3. Step 3: Cross multiply
    232.20x = 345.51 × 231.45
  4. Step 4: Simplify right side
    232.20x = 79,968.29
  5. Step 5: Solve for x
    x = 79,968.29/232.20
  6. Step 6: Final answer
    x = 344.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.