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Finding the Fourth Proportional to 225.75, 311.83 and 179.18

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Solution

The fourth proportional to 225.75, 311.83 and 179.18 is: 247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.75 : 311.83 = 179.18 : x
  2. Step 2: Convert to fraction form
    225.75/311.83 = 179.18/x
  3. Step 3: Cross multiply
    225.75x = 311.83 × 179.18
  4. Step 4: Simplify right side
    225.75x = 55,872.14
  5. Step 5: Solve for x
    x = 55,872.14/225.75
  6. Step 6: Final answer
    x = 247.50

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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.