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Finding the Fourth Proportional to 224.33, 338.15 and 200.84

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Solution

The fourth proportional to 224.33, 338.15 and 200.84 is: 302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.33 : 338.15 = 200.84 : x
  2. Step 2: Convert to fraction form
    224.33/338.15 = 200.84/x
  3. Step 3: Cross multiply
    224.33x = 338.15 × 200.84
  4. Step 4: Simplify right side
    224.33x = 67,912.86
  5. Step 5: Solve for x
    x = 67,912.86/224.33
  6. Step 6: Final answer
    x = 302.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.