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Finding the Fourth Proportional to 182.09, 273.30 and 90.85

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Solution

The fourth proportional to 182.09, 273.30 and 90.85 is: 136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.09 : 273.30 = 90.85 : x
  2. Step 2: Convert to fraction form
    182.09/273.30 = 90.85/x
  3. Step 3: Cross multiply
    182.09x = 273.30 × 90.85
  4. Step 4: Simplify right side
    182.09x = 24,828.62
  5. Step 5: Solve for x
    x = 24,828.62/182.09
  6. Step 6: Final answer
    x = 136.36

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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.