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Finding the Fourth Proportional to 223.36, 308.46 and 196

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Solution

The fourth proportional to 223.36, 308.46 and 196 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.36 : 308.46 = 196 : x
  2. Step 2: Convert to fraction form
    223.36/308.46 = 196/x
  3. Step 3: Cross multiply
    223.36x = 308.46 × 196
  4. Step 4: Simplify right side
    223.36x = 60,458.16
  5. Step 5: Solve for x
    x = 60,458.16/223.36
  6. Step 6: Final answer
    x = 270.68

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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.