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Finding the Fourth Proportional to 343.82, 474.49 and 196.46

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Solution

The fourth proportional to 343.82, 474.49 and 196.46 is: 271.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.82 : 474.49 = 196.46 : x
  2. Step 2: Convert to fraction form
    343.82/474.49 = 196.46/x
  3. Step 3: Cross multiply
    343.82x = 474.49 × 196.46
  4. Step 4: Simplify right side
    343.82x = 93,218.31
  5. Step 5: Solve for x
    x = 93,218.31/343.82
  6. Step 6: Final answer
    x = 271.13

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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.