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Finding the Fourth Proportional to 343.60, 474.17 and 196.22

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Solution

The fourth proportional to 343.60, 474.17 and 196.22 is: 270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.60 : 474.17 = 196.22 : x
  2. Step 2: Convert to fraction form
    343.60/474.17 = 196.22/x
  3. Step 3: Cross multiply
    343.60x = 474.17 × 196.22
  4. Step 4: Simplify right side
    343.60x = 93,041.84
  5. Step 5: Solve for x
    x = 93,041.84/343.60
  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.