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Finding the Fourth Proportional to 343.55, 474.10 and 196.22

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Solution

The fourth proportional to 343.55, 474.10 and 196.22 is: 270.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.55 : 474.10 = 196.22 : x
  2. Step 2: Convert to fraction form
    343.55/474.10 = 196.22/x
  3. Step 3: Cross multiply
    343.55x = 474.10 × 196.22
  4. Step 4: Simplify right side
    343.55x = 93,028.60
  5. Step 5: Solve for x
    x = 93,028.60/343.55
  6. Step 6: Final answer
    x = 270.78

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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.