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Finding the Fourth Proportional to 209.80, 288.86 and 199.56

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Solution

The fourth proportional to 209.80, 288.86 and 199.56 is: 274.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.80 : 288.86 = 199.56 : x
  2. Step 2: Convert to fraction form
    209.80/288.86 = 199.56/x
  3. Step 3: Cross multiply
    209.80x = 288.86 × 199.56
  4. Step 4: Simplify right side
    209.80x = 57,644.90
  5. Step 5: Solve for x
    x = 57,644.90/209.80
  6. Step 6: Final answer
    x = 274.76

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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.