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Finding the Fourth Proportional to 213.44, 320.02 and 110.63

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Solution

The fourth proportional to 213.44, 320.02 and 110.63 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.44 : 320.02 = 110.63 : x
  2. Step 2: Convert to fraction form
    213.44/320.02 = 110.63/x
  3. Step 3: Cross multiply
    213.44x = 320.02 × 110.63
  4. Step 4: Simplify right side
    213.44x = 35,404.34
  5. Step 5: Solve for x
    x = 35,404.34/213.44
  6. Step 6: Final answer
    x = 165.88

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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.