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Finding the Fourth Proportional to 221.75, 305.96 and 147.94

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Solution

The fourth proportional to 221.75, 305.96 and 147.94 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.75 : 305.96 = 147.94 : x
  2. Step 2: Convert to fraction form
    221.75/305.96 = 147.94/x
  3. Step 3: Cross multiply
    221.75x = 305.96 × 147.94
  4. Step 4: Simplify right side
    221.75x = 45,262.22
  5. Step 5: Solve for x
    x = 45,262.22/221.75
  6. Step 6: Final answer
    x = 204.11

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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.