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Finding the Fourth Proportional to 336.21, 463.90 and 196.31

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Solution

The fourth proportional to 336.21, 463.90 and 196.31 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.21 : 463.90 = 196.31 : x
  2. Step 2: Convert to fraction form
    336.21/463.90 = 196.31/x
  3. Step 3: Cross multiply
    336.21x = 463.90 × 196.31
  4. Step 4: Simplify right side
    336.21x = 91,068.21
  5. Step 5: Solve for x
    x = 91,068.21/336.21
  6. Step 6: Final answer
    x = 270.87

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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.