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Finding the Fourth Proportional to 232.27, 346.64 and 222.85

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Solution

The fourth proportional to 232.27, 346.64 and 222.85 is: 332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.27 : 346.64 = 222.85 : x
  2. Step 2: Convert to fraction form
    232.27/346.64 = 222.85/x
  3. Step 3: Cross multiply
    232.27x = 346.64 × 222.85
  4. Step 4: Simplify right side
    232.27x = 77,245.88
  5. Step 5: Solve for x
    x = 77,245.88/232.27
  6. Step 6: Final answer
    x = 332.58

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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.