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Finding the Fourth Proportional to 221.67, 305.24 and 205.34

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Solution

The fourth proportional to 221.67, 305.24 and 205.34 is: 282.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.67 : 305.24 = 205.34 : x
  2. Step 2: Convert to fraction form
    221.67/305.24 = 205.34/x
  3. Step 3: Cross multiply
    221.67x = 305.24 × 205.34
  4. Step 4: Simplify right side
    221.67x = 62,675.43
  5. Step 5: Solve for x
    x = 62,675.43/221.67
  6. Step 6: Final answer
    x = 282.74

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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.