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Finding the Fourth Proportional to 221.37, 305.10 and 196.77

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Solution

The fourth proportional to 221.37, 305.10 and 196.77 is: 271.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.37 : 305.10 = 196.77 : x
  2. Step 2: Convert to fraction form
    221.37/305.10 = 196.77/x
  3. Step 3: Cross multiply
    221.37x = 305.10 × 196.77
  4. Step 4: Simplify right side
    221.37x = 60,034.53
  5. Step 5: Solve for x
    x = 60,034.53/221.37
  6. Step 6: Final answer
    x = 271.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.