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Finding the Fourth Proportional to 221.74, 306.30 and 201.04

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Solution

The fourth proportional to 221.74, 306.30 and 201.04 is: 277.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.74 : 306.30 = 201.04 : x
  2. Step 2: Convert to fraction form
    221.74/306.30 = 201.04/x
  3. Step 3: Cross multiply
    221.74x = 306.30 × 201.04
  4. Step 4: Simplify right side
    221.74x = 61,578.55
  5. Step 5: Solve for x
    x = 61,578.55/221.74
  6. Step 6: Final answer
    x = 277.71

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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.