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Finding the Fourth Proportional to 343.59, 474.14 and 196.21

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Solution

The fourth proportional to 343.59, 474.14 and 196.21 is: 270.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 474.14 = 196.21 : x
  2. Step 2: Convert to fraction form
    343.59/474.14 = 196.21/x
  3. Step 3: Cross multiply
    343.59x = 474.14 × 196.21
  4. Step 4: Simplify right side
    343.59x = 93,027.66
  5. Step 5: Solve for x
    x = 93,027.66/343.59
  6. Step 6: Final answer
    x = 270.75

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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.