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Finding the Fourth Proportional to 224.08, 308.68 and 191.44

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Solution

The fourth proportional to 224.08, 308.68 and 191.44 is: 263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.08 : 308.68 = 191.44 : x
  2. Step 2: Convert to fraction form
    224.08/308.68 = 191.44/x
  3. Step 3: Cross multiply
    224.08x = 308.68 × 191.44
  4. Step 4: Simplify right side
    224.08x = 59,093.70
  5. Step 5: Solve for x
    x = 59,093.70/224.08
  6. Step 6: Final answer
    x = 263.72

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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.