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Finding the Fourth Proportional to 226.20, 311.80 and 182.48

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Solution

The fourth proportional to 226.20, 311.80 and 182.48 is: 251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.20 : 311.80 = 182.48 : x
  2. Step 2: Convert to fraction form
    226.20/311.80 = 182.48/x
  3. Step 3: Cross multiply
    226.20x = 311.80 × 182.48
  4. Step 4: Simplify right side
    226.20x = 56,897.26
  5. Step 5: Solve for x
    x = 56,897.26/226.20
  6. Step 6: Final answer
    x = 251.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.