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Finding the Fourth Proportional to 343.66, 474.29 and 196.32

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Solution

The fourth proportional to 343.66, 474.29 and 196.32 is: 270.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.66 : 474.29 = 196.32 : x
  2. Step 2: Convert to fraction form
    343.66/474.29 = 196.32/x
  3. Step 3: Cross multiply
    343.66x = 474.29 × 196.32
  4. Step 4: Simplify right side
    343.66x = 93,110.94
  5. Step 5: Solve for x
    x = 93,110.94/343.66
  6. Step 6: Final answer
    x = 270.94

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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.