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Finding the Fourth Proportional to 224.24, 336.09 and 198.61

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Solution

The fourth proportional to 224.24, 336.09 and 198.61 is: 297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.24 : 336.09 = 198.61 : x
  2. Step 2: Convert to fraction form
    224.24/336.09 = 198.61/x
  3. Step 3: Cross multiply
    224.24x = 336.09 × 198.61
  4. Step 4: Simplify right side
    224.24x = 66,750.83
  5. Step 5: Solve for x
    x = 66,750.83/224.24
  6. Step 6: Final answer
    x = 297.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.