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Finding the Fourth Proportional to 224.14, 336.83 and 209.56

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Solution

The fourth proportional to 224.14, 336.83 and 209.56 is: 314.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.14 : 336.83 = 209.56 : x
  2. Step 2: Convert to fraction form
    224.14/336.83 = 209.56/x
  3. Step 3: Cross multiply
    224.14x = 336.83 × 209.56
  4. Step 4: Simplify right side
    224.14x = 70,586.09
  5. Step 5: Solve for x
    x = 70,586.09/224.14
  6. Step 6: Final answer
    x = 314.92

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Why These Related Problems?

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