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Finding the Fourth Proportional to 220.32, 330.21 and 112.05

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Solution

The fourth proportional to 220.32, 330.21 and 112.05 is: 167.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.32 : 330.21 = 112.05 : x
  2. Step 2: Convert to fraction form
    220.32/330.21 = 112.05/x
  3. Step 3: Cross multiply
    220.32x = 330.21 × 112.05
  4. Step 4: Simplify right side
    220.32x = 37,000.03
  5. Step 5: Solve for x
    x = 37,000.03/220.32
  6. Step 6: Final answer
    x = 167.94

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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.