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Finding the Fourth Proportional to 225.75, 311.49 and 132.48

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Solution

The fourth proportional to 225.75, 311.49 and 132.48 is: 182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 311.49 = 132.48 : x
  2. Step 2: Convert to fraction form
    225.75/311.49 = 132.48/x
  3. Step 3: Cross multiply
    225.75x = 311.49 × 132.48
  4. Step 4: Simplify right side
    225.75x = 41,266.20
  5. Step 5: Solve for x
    x = 41,266.20/225.75
  6. Step 6: Final answer
    x = 182.80

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Why These Related Problems?

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