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Finding the Fourth Proportional to 213.05, 319.28 and 110.30

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Solution

The fourth proportional to 213.05, 319.28 and 110.30 is: 165.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 319.28 = 110.30 : x
  2. Step 2: Convert to fraction form
    213.05/319.28 = 110.30/x
  3. Step 3: Cross multiply
    213.05x = 319.28 × 110.30
  4. Step 4: Simplify right side
    213.05x = 35,214.44
  5. Step 5: Solve for x
    x = 35,214.44/213.05
  6. Step 6: Final answer
    x = 165.29

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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.