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Finding the Fourth Proportional to 237.92, 329.84 and 223.20

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Solution

The fourth proportional to 237.92, 329.84 and 223.20 is: 309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.92 : 329.84 = 223.20 : x
  2. Step 2: Convert to fraction form
    237.92/329.84 = 223.20/x
  3. Step 3: Cross multiply
    237.92x = 329.84 × 223.20
  4. Step 4: Simplify right side
    237.92x = 73,620.29
  5. Step 5: Solve for x
    x = 73,620.29/237.92
  6. Step 6: Final answer
    x = 309.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.