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Finding the Fourth Proportional to 343.41, 473.81 and 195.99

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Solution

The fourth proportional to 343.41, 473.81 and 195.99 is: 270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.41 : 473.81 = 195.99 : x
  2. Step 2: Convert to fraction form
    343.41/473.81 = 195.99/x
  3. Step 3: Cross multiply
    343.41x = 473.81 × 195.99
  4. Step 4: Simplify right side
    343.41x = 92,861.04
  5. Step 5: Solve for x
    x = 92,861.04/343.41
  6. Step 6: Final answer
    x = 270.41

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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.