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Finding the Fourth Proportional to 223.72, 335.82 and 209.80

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Solution

The fourth proportional to 223.72, 335.82 and 209.80 is: 314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.72 : 335.82 = 209.80 : x
  2. Step 2: Convert to fraction form
    223.72/335.82 = 209.80/x
  3. Step 3: Cross multiply
    223.72x = 335.82 × 209.80
  4. Step 4: Simplify right side
    223.72x = 70,455.04
  5. Step 5: Solve for x
    x = 70,455.04/223.72
  6. Step 6: Final answer
    x = 314.93

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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.