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Finding the Fourth Proportional to 212.91, 319.11 and 110.14

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Solution

The fourth proportional to 212.91, 319.11 and 110.14 is: 165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.91 : 319.11 = 110.14 : x
  2. Step 2: Convert to fraction form
    212.91/319.11 = 110.14/x
  3. Step 3: Cross multiply
    212.91x = 319.11 × 110.14
  4. Step 4: Simplify right side
    212.91x = 35,146.78
  5. Step 5: Solve for x
    x = 35,146.78/212.91
  6. Step 6: Final answer
    x = 165.08

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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.