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Finding the Fourth Proportional to 221.14, 331.68 and 76.84

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Solution

The fourth proportional to 221.14, 331.68 and 76.84 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.14 : 331.68 = 76.84 : x
  2. Step 2: Convert to fraction form
    221.14/331.68 = 76.84/x
  3. Step 3: Cross multiply
    221.14x = 331.68 × 76.84
  4. Step 4: Simplify right side
    221.14x = 25,486.29
  5. Step 5: Solve for x
    x = 25,486.29/221.14
  6. Step 6: Final answer
    x = 115.25

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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.