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Finding the Fourth Proportional to 221.76, 305.10 and 196.74

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Solution

The fourth proportional to 221.76, 305.10 and 196.74 is: 270.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.76 : 305.10 = 196.74 : x
  2. Step 2: Convert to fraction form
    221.76/305.10 = 196.74/x
  3. Step 3: Cross multiply
    221.76x = 305.10 × 196.74
  4. Step 4: Simplify right side
    221.76x = 60,025.37
  5. Step 5: Solve for x
    x = 60,025.37/221.76
  6. Step 6: Final answer
    x = 270.68

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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.