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Finding the Fourth Proportional to 343.52, 473.96 and 196.14

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Solution

The fourth proportional to 343.52, 473.96 and 196.14 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.52 : 473.96 = 196.14 : x
  2. Step 2: Convert to fraction form
    343.52/473.96 = 196.14/x
  3. Step 3: Cross multiply
    343.52x = 473.96 × 196.14
  4. Step 4: Simplify right side
    343.52x = 92,962.51
  5. Step 5: Solve for x
    x = 92,962.51/343.52
  6. Step 6: Final answer
    x = 270.62

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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.