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Finding the Fourth Proportional to 336.13, 463.96 and 196.28

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Solution

The fourth proportional to 336.13, 463.96 and 196.28 is: 270.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.13 : 463.96 = 196.28 : x
  2. Step 2: Convert to fraction form
    336.13/463.96 = 196.28/x
  3. Step 3: Cross multiply
    336.13x = 463.96 × 196.28
  4. Step 4: Simplify right side
    336.13x = 91,066.07
  5. Step 5: Solve for x
    x = 91,066.07/336.13
  6. Step 6: Final answer
    x = 270.93

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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.