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Finding the Fourth Proportional to 229.44, 315.72 and 198.21

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Solution

The fourth proportional to 229.44, 315.72 and 198.21 is: 272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.44 : 315.72 = 198.21 : x
  2. Step 2: Convert to fraction form
    229.44/315.72 = 198.21/x
  3. Step 3: Cross multiply
    229.44x = 315.72 × 198.21
  4. Step 4: Simplify right side
    229.44x = 62,578.86
  5. Step 5: Solve for x
    x = 62,578.86/229.44
  6. Step 6: Final answer
    x = 272.75

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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.