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Finding the Fourth Proportional to 221.22, 332.21 and 140.57

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Solution

The fourth proportional to 221.22, 332.21 and 140.57 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.22 : 332.21 = 140.57 : x
  2. Step 2: Convert to fraction form
    221.22/332.21 = 140.57/x
  3. Step 3: Cross multiply
    221.22x = 332.21 × 140.57
  4. Step 4: Simplify right side
    221.22x = 46,698.76
  5. Step 5: Solve for x
    x = 46,698.76/221.22
  6. Step 6: Final answer
    x = 211.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.