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Finding the Fourth Proportional to 213.44, 320.12 and 110.80

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Solution

The fourth proportional to 213.44, 320.12 and 110.80 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 320.12 = 110.80 : x
  2. Step 2: Convert to fraction form
    213.44/320.12 = 110.80/x
  3. Step 3: Cross multiply
    213.44x = 320.12 × 110.80
  4. Step 4: Simplify right side
    213.44x = 35,467.14
  5. Step 5: Solve for x
    x = 35,467.14/213.44
  6. Step 6: Final answer
    x = 166.17

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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.