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Finding the Fourth Proportional to 221.97, 332.98 and 75.75

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Solution

The fourth proportional to 221.97, 332.98 and 75.75 is: 113.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.97 : 332.98 = 75.75 : x
  2. Step 2: Convert to fraction form
    221.97/332.98 = 75.75/x
  3. Step 3: Cross multiply
    221.97x = 332.98 × 75.75
  4. Step 4: Simplify right side
    221.97x = 25,222.01
  5. Step 5: Solve for x
    x = 25,222.01/221.97
  6. Step 6: Final answer
    x = 113.63

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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.