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Finding the Fourth Proportional to 213.27, 320.00 and 105.09

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Solution

The fourth proportional to 213.27, 320.00 and 105.09 is: 157.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.27 : 320.00 = 105.09 : x
  2. Step 2: Convert to fraction form
    213.27/320.00 = 105.09/x
  3. Step 3: Cross multiply
    213.27x = 320.00 × 105.09
  4. Step 4: Simplify right side
    213.27x = 33,628.27
  5. Step 5: Solve for x
    x = 33,628.27/213.27
  6. Step 6: Final answer
    x = 157.68

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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.