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Finding the Fourth Proportional to 336.05, 463.73 and 196.17

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Solution

The fourth proportional to 336.05, 463.73 and 196.17 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.05 : 463.73 = 196.17 : x
  2. Step 2: Convert to fraction form
    336.05/463.73 = 196.17/x
  3. Step 3: Cross multiply
    336.05x = 463.73 × 196.17
  4. Step 4: Simplify right side
    336.05x = 90,968.93
  5. Step 5: Solve for x
    x = 90,968.93/336.05
  6. Step 6: Final answer
    x = 270.70

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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.