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Finding the Fourth Proportional to 343.80, 474.39 and 196.45

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Solution

The fourth proportional to 343.80, 474.39 and 196.45 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.80 : 474.39 = 196.45 : x
  2. Step 2: Convert to fraction form
    343.80/474.39 = 196.45/x
  3. Step 3: Cross multiply
    343.80x = 474.39 × 196.45
  4. Step 4: Simplify right side
    343.80x = 93,192.73
  5. Step 5: Solve for x
    x = 93,192.73/343.80
  6. Step 6: Final answer
    x = 271.07

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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.