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Finding the Fourth Proportional to 343.59, 474.16 and 196.22

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Solution

The fourth proportional to 343.59, 474.16 and 196.22 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.59 : 474.16 = 196.22 : x
  2. Step 2: Convert to fraction form
    343.59/474.16 = 196.22/x
  3. Step 3: Cross multiply
    343.59x = 474.16 × 196.22
  4. Step 4: Simplify right side
    343.59x = 93,040.74
  5. Step 5: Solve for x
    x = 93,040.74/343.59
  6. Step 6: Final answer
    x = 270.79

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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.