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Finding the Fourth Proportional to 213.68, 320.25 and 209.36

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Solution

The fourth proportional to 213.68, 320.25 and 209.36 is: 313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.68 : 320.25 = 209.36 : x
  2. Step 2: Convert to fraction form
    213.68/320.25 = 209.36/x
  3. Step 3: Cross multiply
    213.68x = 320.25 × 209.36
  4. Step 4: Simplify right side
    213.68x = 67,047.54
  5. Step 5: Solve for x
    x = 67,047.54/213.68
  6. Step 6: Final answer
    x = 313.78

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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.