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Finding the Fourth Proportional to 231.46, 344.46 and 222.82

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Solution

The fourth proportional to 231.46, 344.46 and 222.82 is: 331.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.46 : 344.46 = 222.82 : x
  2. Step 2: Convert to fraction form
    231.46/344.46 = 222.82/x
  3. Step 3: Cross multiply
    231.46x = 344.46 × 222.82
  4. Step 4: Simplify right side
    231.46x = 76,752.58
  5. Step 5: Solve for x
    x = 76,752.58/231.46
  6. Step 6: Final answer
    x = 331.60

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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.