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Finding the Fourth Proportional to 213.43, 320.17 and 105.21

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Solution

The fourth proportional to 213.43, 320.17 and 105.21 is: 157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.43 : 320.17 = 105.21 : x
  2. Step 2: Convert to fraction form
    213.43/320.17 = 105.21/x
  3. Step 3: Cross multiply
    213.43x = 320.17 × 105.21
  4. Step 4: Simplify right side
    213.43x = 33,683.48
  5. Step 5: Solve for x
    x = 33,683.48/213.43
  6. Step 6: Final answer
    x = 157.82

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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.