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Finding the Fourth Proportional to 221.67, 334.19 and 206.01

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Solution

The fourth proportional to 221.67, 334.19 and 206.01 is: 310.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.67 : 334.19 = 206.01 : x
  2. Step 2: Convert to fraction form
    221.67/334.19 = 206.01/x
  3. Step 3: Cross multiply
    221.67x = 334.19 × 206.01
  4. Step 4: Simplify right side
    221.67x = 68,847.00
  5. Step 5: Solve for x
    x = 68,847.00/221.67
  6. Step 6: Final answer
    x = 310.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.