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Finding the Fourth Proportional to 221, 331.62 and 107

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Solution

The fourth proportional to 221, 331.62 and 107 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221 : 331.62 = 107 : x
  2. Step 2: Convert to fraction form
    221/331.62 = 107/x
  3. Step 3: Cross multiply
    221x = 331.62 × 107
  4. Step 4: Simplify right side
    221x = 35,483.34
  5. Step 5: Solve for x
    x = 35,483.34/221
  6. Step 6: Final answer
    x = 160.56

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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.