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Finding the Fourth Proportional to 343.54, 473.97 and 196.07

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Solution

The fourth proportional to 343.54, 473.97 and 196.07 is: 270.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.54 : 473.97 = 196.07 : x
  2. Step 2: Convert to fraction form
    343.54/473.97 = 196.07/x
  3. Step 3: Cross multiply
    343.54x = 473.97 × 196.07
  4. Step 4: Simplify right side
    343.54x = 92,931.30
  5. Step 5: Solve for x
    x = 92,931.30/343.54
  6. Step 6: Final answer
    x = 270.51

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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.