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Finding the Fourth Proportional to 221.22, 305.24 and 142.52

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Solution

The fourth proportional to 221.22, 305.24 and 142.52 is: 196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 305.24 = 142.52 : x
  2. Step 2: Convert to fraction form
    221.22/305.24 = 142.52/x
  3. Step 3: Cross multiply
    221.22x = 305.24 × 142.52
  4. Step 4: Simplify right side
    221.22x = 43,502.03
  5. Step 5: Solve for x
    x = 43,502.03/221.22
  6. Step 6: Final answer
    x = 196.65

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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.