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Finding the Fourth Proportional to 221.43, 331.74 and 185.25

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Solution

The fourth proportional to 221.43, 331.74 and 185.25 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.43 : 331.74 = 185.25 : x
  2. Step 2: Convert to fraction form
    221.43/331.74 = 185.25/x
  3. Step 3: Cross multiply
    221.43x = 331.74 × 185.25
  4. Step 4: Simplify right side
    221.43x = 61,454.84
  5. Step 5: Solve for x
    x = 61,454.84/221.43
  6. Step 6: Final answer
    x = 277.54

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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.