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Finding the Fourth Proportional to 232.50, 350.67 and 223.86

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Solution

The fourth proportional to 232.50, 350.67 and 223.86 is: 337.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.50 : 350.67 = 223.86 : x
  2. Step 2: Convert to fraction form
    232.50/350.67 = 223.86/x
  3. Step 3: Cross multiply
    232.50x = 350.67 × 223.86
  4. Step 4: Simplify right side
    232.50x = 78,500.99
  5. Step 5: Solve for x
    x = 78,500.99/232.50
  6. Step 6: Final answer
    x = 337.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.