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Finding the Fourth Proportional to 221.42, 331.68 and 105.70

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Solution

The fourth proportional to 221.42, 331.68 and 105.70 is: 158.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.42 : 331.68 = 105.70 : x
  2. Step 2: Convert to fraction form
    221.42/331.68 = 105.70/x
  3. Step 3: Cross multiply
    221.42x = 331.68 × 105.70
  4. Step 4: Simplify right side
    221.42x = 35,058.58
  5. Step 5: Solve for x
    x = 35,058.58/221.42
  6. Step 6: Final answer
    x = 158.34

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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.