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Finding the Fourth Proportional to 227.60, 311.98 and 222.08

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Solution

The fourth proportional to 227.60, 311.98 and 222.08 is: 304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.60 : 311.98 = 222.08 : x
  2. Step 2: Convert to fraction form
    227.60/311.98 = 222.08/x
  3. Step 3: Cross multiply
    227.60x = 311.98 × 222.08
  4. Step 4: Simplify right side
    227.60x = 69,284.52
  5. Step 5: Solve for x
    x = 69,284.52/227.60
  6. Step 6: Final answer
    x = 304.41

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.