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Finding the Fourth Proportional to 221.26, 331.91 and 75.02

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Solution

The fourth proportional to 221.26, 331.91 and 75.02 is: 112.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.26 : 331.91 = 75.02 : x
  2. Step 2: Convert to fraction form
    221.26/331.91 = 75.02/x
  3. Step 3: Cross multiply
    221.26x = 331.91 × 75.02
  4. Step 4: Simplify right side
    221.26x = 24,899.89
  5. Step 5: Solve for x
    x = 24,899.89/221.26
  6. Step 6: Final answer
    x = 112.54

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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.