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Finding the Fourth Proportional to 343.48, 474.05 and 196.13

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Solution

The fourth proportional to 343.48, 474.05 and 196.13 is: 270.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.48 : 474.05 = 196.13 : x
  2. Step 2: Convert to fraction form
    343.48/474.05 = 196.13/x
  3. Step 3: Cross multiply
    343.48x = 474.05 × 196.13
  4. Step 4: Simplify right side
    343.48x = 92,975.43
  5. Step 5: Solve for x
    x = 92,975.43/343.48
  6. Step 6: Final answer
    x = 270.69

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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.