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Finding the Fourth Proportional to 343.35, 473.83 and 195.99

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Solution

The fourth proportional to 343.35, 473.83 and 195.99 is: 270.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.35 : 473.83 = 195.99 : x
  2. Step 2: Convert to fraction form
    343.35/473.83 = 195.99/x
  3. Step 3: Cross multiply
    343.35x = 473.83 × 195.99
  4. Step 4: Simplify right side
    343.35x = 92,865.94
  5. Step 5: Solve for x
    x = 92,865.94/343.35
  6. Step 6: Final answer
    x = 270.47

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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.