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Finding the Fourth Proportional to 273.13, 409.72 and 119.07

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Solution

The fourth proportional to 273.13, 409.72 and 119.07 is: 178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.13 : 409.72 = 119.07 : x
  2. Step 2: Convert to fraction form
    273.13/409.72 = 119.07/x
  3. Step 3: Cross multiply
    273.13x = 409.72 × 119.07
  4. Step 4: Simplify right side
    273.13x = 48,785.51
  5. Step 5: Solve for x
    x = 48,785.51/273.13
  6. Step 6: Final answer
    x = 178.62

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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.