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Finding the Fourth Proportional to 223.72, 308.70 and 195.98

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Solution

The fourth proportional to 223.72, 308.70 and 195.98 is: 270.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.72 : 308.70 = 195.98 : x
  2. Step 2: Convert to fraction form
    223.72/308.70 = 195.98/x
  3. Step 3: Cross multiply
    223.72x = 308.70 × 195.98
  4. Step 4: Simplify right side
    223.72x = 60,499.03
  5. Step 5: Solve for x
    x = 60,499.03/223.72
  6. Step 6: Final answer
    x = 270.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.