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Finding the Fourth Proportional to 336.18, 463.97 and 196.26

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Solution

The fourth proportional to 336.18, 463.97 and 196.26 is: 270.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.18 : 463.97 = 196.26 : x
  2. Step 2: Convert to fraction form
    336.18/463.97 = 196.26/x
  3. Step 3: Cross multiply
    336.18x = 463.97 × 196.26
  4. Step 4: Simplify right side
    336.18x = 91,057.77
  5. Step 5: Solve for x
    x = 91,057.77/336.18
  6. Step 6: Final answer
    x = 270.86

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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.