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Finding the Fourth Proportional to 336.08, 463.80 and 196.29

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Solution

The fourth proportional to 336.08, 463.80 and 196.29 is: 270.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.08 : 463.80 = 196.29 : x
  2. Step 2: Convert to fraction form
    336.08/463.80 = 196.29/x
  3. Step 3: Cross multiply
    336.08x = 463.80 × 196.29
  4. Step 4: Simplify right side
    336.08x = 91,036.98
  5. Step 5: Solve for x
    x = 91,036.98/336.08
  6. Step 6: Final answer
    x = 270.88

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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.