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Finding the Fourth Proportional to 224.12, 335.52 and 209.69

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Solution

The fourth proportional to 224.12, 335.52 and 209.69 is: 313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.12 : 335.52 = 209.69 : x
  2. Step 2: Convert to fraction form
    224.12/335.52 = 209.69/x
  3. Step 3: Cross multiply
    224.12x = 335.52 × 209.69
  4. Step 4: Simplify right side
    224.12x = 70,353.51
  5. Step 5: Solve for x
    x = 70,353.51/224.12
  6. Step 6: Final answer
    x = 313.92

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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.