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Finding the Fourth Proportional to 221.99, 331.36 and 205.93

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Solution

The fourth proportional to 221.99, 331.36 and 205.93 is: 307.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.99 : 331.36 = 205.93 : x
  2. Step 2: Convert to fraction form
    221.99/331.36 = 205.93/x
  3. Step 3: Cross multiply
    221.99x = 331.36 × 205.93
  4. Step 4: Simplify right side
    221.99x = 68,235.31
  5. Step 5: Solve for x
    x = 68,235.31/221.99
  6. Step 6: Final answer
    x = 307.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.