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Finding the Fourth Proportional to 224.16, 308.96 and 194.48

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Solution

The fourth proportional to 224.16, 308.96 and 194.48 is: 268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.16 : 308.96 = 194.48 : x
  2. Step 2: Convert to fraction form
    224.16/308.96 = 194.48/x
  3. Step 3: Cross multiply
    224.16x = 308.96 × 194.48
  4. Step 4: Simplify right side
    224.16x = 60,086.54
  5. Step 5: Solve for x
    x = 60,086.54/224.16
  6. Step 6: Final answer
    x = 268.05

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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.