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Finding the Fourth Proportional to 224.02, 308.89 and 208.12

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Solution

The fourth proportional to 224.02, 308.89 and 208.12 is: 286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 308.89 = 208.12 : x
  2. Step 2: Convert to fraction form
    224.02/308.89 = 208.12/x
  3. Step 3: Cross multiply
    224.02x = 308.89 × 208.12
  4. Step 4: Simplify right side
    224.02x = 64,286.19
  5. Step 5: Solve for x
    x = 64,286.19/224.02
  6. Step 6: Final answer
    x = 286.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.