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Finding the Fourth Proportional to 221.58, 332.45 and 107.50

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Solution

The fourth proportional to 221.58, 332.45 and 107.50 is: 161.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.58 : 332.45 = 107.50 : x
  2. Step 2: Convert to fraction form
    221.58/332.45 = 107.50/x
  3. Step 3: Cross multiply
    221.58x = 332.45 × 107.50
  4. Step 4: Simplify right side
    221.58x = 35,738.38
  5. Step 5: Solve for x
    x = 35,738.38/221.58
  6. Step 6: Final answer
    x = 161.29

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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.