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Finding the Fourth Proportional to 273.26, 409.58 and 208.05

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Solution

The fourth proportional to 273.26, 409.58 and 208.05 is: 311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.26 : 409.58 = 208.05 : x
  2. Step 2: Convert to fraction form
    273.26/409.58 = 208.05/x
  3. Step 3: Cross multiply
    273.26x = 409.58 × 208.05
  4. Step 4: Simplify right side
    273.26x = 85,212.08
  5. Step 5: Solve for x
    x = 85,212.08/273.26
  6. Step 6: Final answer
    x = 311.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.