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Finding the Fourth Proportional to 224.34, 308.88 and 196.55

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Solution

The fourth proportional to 224.34, 308.88 and 196.55 is: 270.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.34 : 308.88 = 196.55 : x
  2. Step 2: Convert to fraction form
    224.34/308.88 = 196.55/x
  3. Step 3: Cross multiply
    224.34x = 308.88 × 196.55
  4. Step 4: Simplify right side
    224.34x = 60,710.36
  5. Step 5: Solve for x
    x = 60,710.36/224.34
  6. Step 6: Final answer
    x = 270.62

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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.