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Finding the Fourth Proportional to 221.57, 305.49 and 142.75

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Solution

The fourth proportional to 221.57, 305.49 and 142.75 is: 196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.57 : 305.49 = 142.75 : x
  2. Step 2: Convert to fraction form
    221.57/305.49 = 142.75/x
  3. Step 3: Cross multiply
    221.57x = 305.49 × 142.75
  4. Step 4: Simplify right side
    221.57x = 43,608.70
  5. Step 5: Solve for x
    x = 43,608.70/221.57
  6. Step 6: Final answer
    x = 196.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.