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Finding the Fourth Proportional to 220.22, 330.08 and 75.82

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Solution

The fourth proportional to 220.22, 330.08 and 75.82 is: 113.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.22 : 330.08 = 75.82 : x
  2. Step 2: Convert to fraction form
    220.22/330.08 = 75.82/x
  3. Step 3: Cross multiply
    220.22x = 330.08 × 75.82
  4. Step 4: Simplify right side
    220.22x = 25,026.67
  5. Step 5: Solve for x
    x = 25,026.67/220.22
  6. Step 6: Final answer
    x = 113.64

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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.