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Finding the Fourth Proportional to 212.89, 319.41 and 110.12

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Solution

The fourth proportional to 212.89, 319.41 and 110.12 is: 165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.89 : 319.41 = 110.12 : x
  2. Step 2: Convert to fraction form
    212.89/319.41 = 110.12/x
  3. Step 3: Cross multiply
    212.89x = 319.41 × 110.12
  4. Step 4: Simplify right side
    212.89x = 35,172.88
  5. Step 5: Solve for x
    x = 35,172.88/212.89
  6. Step 6: Final answer
    x = 165.22

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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.