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Finding the Fourth Proportional to 221.26, 331.02 and 186.64

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Solution

The fourth proportional to 221.26, 331.02 and 186.64 is: 279.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.26 : 331.02 = 186.64 : x
  2. Step 2: Convert to fraction form
    221.26/331.02 = 186.64/x
  3. Step 3: Cross multiply
    221.26x = 331.02 × 186.64
  4. Step 4: Simplify right side
    221.26x = 61,781.57
  5. Step 5: Solve for x
    x = 61,781.57/221.26
  6. Step 6: Final answer
    x = 279.23

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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.