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Finding the Fourth Proportional to 224.11, 336.30 and 204.40

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Solution

The fourth proportional to 224.11, 336.30 and 204.40 is: 306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.11 : 336.30 = 204.40 : x
  2. Step 2: Convert to fraction form
    224.11/336.30 = 204.40/x
  3. Step 3: Cross multiply
    224.11x = 336.30 × 204.40
  4. Step 4: Simplify right side
    224.11x = 68,739.72
  5. Step 5: Solve for x
    x = 68,739.72/224.11
  6. Step 6: Final answer
    x = 306.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.