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Finding the Fourth Proportional to 212.87, 319.19 and 110.22

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Solution

The fourth proportional to 212.87, 319.19 and 110.22 is: 165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.87 : 319.19 = 110.22 : x
  2. Step 2: Convert to fraction form
    212.87/319.19 = 110.22/x
  3. Step 3: Cross multiply
    212.87x = 319.19 × 110.22
  4. Step 4: Simplify right side
    212.87x = 35,180.57
  5. Step 5: Solve for x
    x = 35,180.57/212.87
  6. Step 6: Final answer
    x = 165.27

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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.