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Finding the Fourth Proportional to 273.67, 409.83 and 175.86

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Solution

The fourth proportional to 273.67, 409.83 and 175.86 is: 263.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.67 : 409.83 = 175.86 : x
  2. Step 2: Convert to fraction form
    273.67/409.83 = 175.86/x
  3. Step 3: Cross multiply
    273.67x = 409.83 × 175.86
  4. Step 4: Simplify right side
    273.67x = 72,072.70
  5. Step 5: Solve for x
    x = 72,072.70/273.67
  6. Step 6: Final answer
    x = 263.36

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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.