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Finding the Fourth Proportional to 226.64, 341.16 and 196.88

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Solution

The fourth proportional to 226.64, 341.16 and 196.88 is: 296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.64 : 341.16 = 196.88 : x
  2. Step 2: Convert to fraction form
    226.64/341.16 = 196.88/x
  3. Step 3: Cross multiply
    226.64x = 341.16 × 196.88
  4. Step 4: Simplify right side
    226.64x = 67,167.58
  5. Step 5: Solve for x
    x = 67,167.58/226.64
  6. Step 6: Final answer
    x = 296.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.