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Finding the Fourth Proportional to 343.51, 474 and 196.10

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Solution

The fourth proportional to 343.51, 474 and 196.10 is: 270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.51 : 474 = 196.10 : x
  2. Step 2: Convert to fraction form
    343.51/474 = 196.10/x
  3. Step 3: Cross multiply
    343.51x = 474 × 196.10
  4. Step 4: Simplify right side
    343.51x = 92,951.40
  5. Step 5: Solve for x
    x = 92,951.40/343.51
  6. Step 6: Final answer
    x = 270.59

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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.