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Finding the Fourth Proportional to 336.20, 464.01 and 196.34

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Solution

The fourth proportional to 336.20, 464.01 and 196.34 is: 270.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.20 : 464.01 = 196.34 : x
  2. Step 2: Convert to fraction form
    336.20/464.01 = 196.34/x
  3. Step 3: Cross multiply
    336.20x = 464.01 × 196.34
  4. Step 4: Simplify right side
    336.20x = 91,103.72
  5. Step 5: Solve for x
    x = 91,103.72/336.20
  6. Step 6: Final answer
    x = 270.98

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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.