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Finding the Fourth Proportional to 343.65, 474.14 and 196.28

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Solution

The fourth proportional to 343.65, 474.14 and 196.28 is: 270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.65 : 474.14 = 196.28 : x
  2. Step 2: Convert to fraction form
    343.65/474.14 = 196.28/x
  3. Step 3: Cross multiply
    343.65x = 474.14 × 196.28
  4. Step 4: Simplify right side
    343.65x = 93,064.20
  5. Step 5: Solve for x
    x = 93,064.20/343.65
  6. Step 6: Final answer
    x = 270.81

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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.