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Finding the Fourth Proportional to 220.58, 303.87 and 209.04

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Solution

The fourth proportional to 220.58, 303.87 and 209.04 is: 287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.58 : 303.87 = 209.04 : x
  2. Step 2: Convert to fraction form
    220.58/303.87 = 209.04/x
  3. Step 3: Cross multiply
    220.58x = 303.87 × 209.04
  4. Step 4: Simplify right side
    220.58x = 63,520.98
  5. Step 5: Solve for x
    x = 63,520.98/220.58
  6. Step 6: Final answer
    x = 287.97

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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.