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Finding the Fourth Proportional to 221.80, 332.46 and 140.54

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Solution

The fourth proportional to 221.80, 332.46 and 140.54 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.80 : 332.46 = 140.54 : x
  2. Step 2: Convert to fraction form
    221.80/332.46 = 140.54/x
  3. Step 3: Cross multiply
    221.80x = 332.46 × 140.54
  4. Step 4: Simplify right side
    221.80x = 46,723.93
  5. Step 5: Solve for x
    x = 46,723.93/221.80
  6. Step 6: Final answer
    x = 210.66

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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.