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Finding the Fourth Proportional to 223.70, 335.19 and 197.78

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Solution

The fourth proportional to 223.70, 335.19 and 197.78 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.70 : 335.19 = 197.78 : x
  2. Step 2: Convert to fraction form
    223.70/335.19 = 197.78/x
  3. Step 3: Cross multiply
    223.70x = 335.19 × 197.78
  4. Step 4: Simplify right side
    223.70x = 66,293.88
  5. Step 5: Solve for x
    x = 66,293.88/223.70
  6. Step 6: Final answer
    x = 296.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.