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Finding the Fourth Proportional to 221.06, 330.66 and 199.77

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Solution

The fourth proportional to 221.06, 330.66 and 199.77 is: 298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.06 : 330.66 = 199.77 : x
  2. Step 2: Convert to fraction form
    221.06/330.66 = 199.77/x
  3. Step 3: Cross multiply
    221.06x = 330.66 × 199.77
  4. Step 4: Simplify right side
    221.06x = 66,055.95
  5. Step 5: Solve for x
    x = 66,055.95/221.06
  6. Step 6: Final answer
    x = 298.82

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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.