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Finding the Fourth Proportional to 209.57, 288.36 and 204.20

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Solution

The fourth proportional to 209.57, 288.36 and 204.20 is: 280.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.57 : 288.36 = 204.20 : x
  2. Step 2: Convert to fraction form
    209.57/288.36 = 204.20/x
  3. Step 3: Cross multiply
    209.57x = 288.36 × 204.20
  4. Step 4: Simplify right side
    209.57x = 58,884.37
  5. Step 5: Solve for x
    x = 58,884.37/209.57
  6. Step 6: Final answer
    x = 280.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.