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Finding the Fourth Proportional to 213.92, 320.24 and 193.64

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Solution

The fourth proportional to 213.92, 320.24 and 193.64 is: 289.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.92 : 320.24 = 193.64 : x
  2. Step 2: Convert to fraction form
    213.92/320.24 = 193.64/x
  3. Step 3: Cross multiply
    213.92x = 320.24 × 193.64
  4. Step 4: Simplify right side
    213.92x = 62,011.27
  5. Step 5: Solve for x
    x = 62,011.27/213.92
  6. Step 6: Final answer
    x = 289.88

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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.