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Finding the Fourth Proportional to 335.96, 463.65 and 196.09

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Solution

The fourth proportional to 335.96, 463.65 and 196.09 is: 270.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.96 : 463.65 = 196.09 : x
  2. Step 2: Convert to fraction form
    335.96/463.65 = 196.09/x
  3. Step 3: Cross multiply
    335.96x = 463.65 × 196.09
  4. Step 4: Simplify right side
    335.96x = 90,913.83
  5. Step 5: Solve for x
    x = 90,913.83/335.96
  6. Step 6: Final answer
    x = 270.61

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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.