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Finding the Fourth Proportional to 215.48, 323.36 and 213.76

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Solution

The fourth proportional to 215.48, 323.36 and 213.76 is: 320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.48 : 323.36 = 213.76 : x
  2. Step 2: Convert to fraction form
    215.48/323.36 = 213.76/x
  3. Step 3: Cross multiply
    215.48x = 323.36 × 213.76
  4. Step 4: Simplify right side
    215.48x = 69,121.43
  5. Step 5: Solve for x
    x = 69,121.43/215.48
  6. Step 6: Final answer
    x = 320.78

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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.