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Finding the Fourth Proportional to 224.28, 336.96 and 209.34

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Solution

The fourth proportional to 224.28, 336.96 and 209.34 is: 314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.28 : 336.96 = 209.34 : x
  2. Step 2: Convert to fraction form
    224.28/336.96 = 209.34/x
  3. Step 3: Cross multiply
    224.28x = 336.96 × 209.34
  4. Step 4: Simplify right side
    224.28x = 70,539.21
  5. Step 5: Solve for x
    x = 70,539.21/224.28
  6. Step 6: Final answer
    x = 314.51

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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.