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Finding the Fourth Proportional to 343.54, 474.13 and 196.17

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Solution

The fourth proportional to 343.54, 474.13 and 196.17 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 474.13 = 196.17 : x
  2. Step 2: Convert to fraction form
    343.54/474.13 = 196.17/x
  3. Step 3: Cross multiply
    343.54x = 474.13 × 196.17
  4. Step 4: Simplify right side
    343.54x = 93,010.66
  5. Step 5: Solve for x
    x = 93,010.66/343.54
  6. Step 6: Final answer
    x = 270.74

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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.