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Finding the Fourth Proportional to 343.49, 473.98 and 196.09

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Solution

The fourth proportional to 343.49, 473.98 and 196.09 is: 270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.49 : 473.98 = 196.09 : x
  2. Step 2: Convert to fraction form
    343.49/473.98 = 196.09/x
  3. Step 3: Cross multiply
    343.49x = 473.98 × 196.09
  4. Step 4: Simplify right side
    343.49x = 92,942.74
  5. Step 5: Solve for x
    x = 92,942.74/343.49
  6. Step 6: Final answer
    x = 270.58

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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.