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Finding the Fourth Proportional to 221.25, 330.22 and 192.19

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Solution

The fourth proportional to 221.25, 330.22 and 192.19 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.25 : 330.22 = 192.19 : x
  2. Step 2: Convert to fraction form
    221.25/330.22 = 192.19/x
  3. Step 3: Cross multiply
    221.25x = 330.22 × 192.19
  4. Step 4: Simplify right side
    221.25x = 63,464.98
  5. Step 5: Solve for x
    x = 63,464.98/221.25
  6. Step 6: Final answer
    x = 286.85

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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.