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Finding the Fourth Proportional to 221.31, 332.09 and 105.68

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Solution

The fourth proportional to 221.31, 332.09 and 105.68 is: 158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.31 : 332.09 = 105.68 : x
  2. Step 2: Convert to fraction form
    221.31/332.09 = 105.68/x
  3. Step 3: Cross multiply
    221.31x = 332.09 × 105.68
  4. Step 4: Simplify right side
    221.31x = 35,095.97
  5. Step 5: Solve for x
    x = 35,095.97/221.31
  6. Step 6: Final answer
    x = 158.58

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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.