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Finding the Fourth Proportional to 224.36, 335.24 and 196.58

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Solution

The fourth proportional to 224.36, 335.24 and 196.58 is: 293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.36 : 335.24 = 196.58 : x
  2. Step 2: Convert to fraction form
    224.36/335.24 = 196.58/x
  3. Step 3: Cross multiply
    224.36x = 335.24 × 196.58
  4. Step 4: Simplify right side
    224.36x = 65,898.82
  5. Step 5: Solve for x
    x = 65,898.82/224.36
  6. Step 6: Final answer
    x = 293.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.