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Finding the Fourth Proportional to 221.42, 332.30 and 105.92

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Solution

The fourth proportional to 221.42, 332.30 and 105.92 is: 158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 332.30 = 105.92 : x
  2. Step 2: Convert to fraction form
    221.42/332.30 = 105.92/x
  3. Step 3: Cross multiply
    221.42x = 332.30 × 105.92
  4. Step 4: Simplify right side
    221.42x = 35,197.22
  5. Step 5: Solve for x
    x = 35,197.22/221.42
  6. Step 6: Final answer
    x = 158.96

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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.