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Finding the Fourth Proportional to 336.15, 463.81 and 196.23

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Solution

The fourth proportional to 336.15, 463.81 and 196.23 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.15 : 463.81 = 196.23 : x
  2. Step 2: Convert to fraction form
    336.15/463.81 = 196.23/x
  3. Step 3: Cross multiply
    336.15x = 463.81 × 196.23
  4. Step 4: Simplify right side
    336.15x = 91,013.44
  5. Step 5: Solve for x
    x = 91,013.44/336.15
  6. Step 6: Final answer
    x = 270.75

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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.