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Finding the Fourth Proportional to 225.44, 311.08 and 132.21

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Solution

The fourth proportional to 225.44, 311.08 and 132.21 is: 182.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.44 : 311.08 = 132.21 : x
  2. Step 2: Convert to fraction form
    225.44/311.08 = 132.21/x
  3. Step 3: Cross multiply
    225.44x = 311.08 × 132.21
  4. Step 4: Simplify right side
    225.44x = 41,129.06
  5. Step 5: Solve for x
    x = 41,129.06/225.44
  6. Step 6: Final answer
    x = 182.44

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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.