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Finding the Fourth Proportional to 273.45, 409.41 and 157.71

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Solution

The fourth proportional to 273.45, 409.41 and 157.71 is: 236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.45 : 409.41 = 157.71 : x
  2. Step 2: Convert to fraction form
    273.45/409.41 = 157.71/x
  3. Step 3: Cross multiply
    273.45x = 409.41 × 157.71
  4. Step 4: Simplify right side
    273.45x = 64,568.05
  5. Step 5: Solve for x
    x = 64,568.05/273.45
  6. Step 6: Final answer
    x = 236.12

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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.