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Finding the Fourth Proportional to 221.36, 331.82 and 130.08

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Solution

The fourth proportional to 221.36, 331.82 and 130.08 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.36 : 331.82 = 130.08 : x
  2. Step 2: Convert to fraction form
    221.36/331.82 = 130.08/x
  3. Step 3: Cross multiply
    221.36x = 331.82 × 130.08
  4. Step 4: Simplify right side
    221.36x = 43,163.15
  5. Step 5: Solve for x
    x = 43,163.15/221.36
  6. Step 6: Final answer
    x = 194.99

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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.