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Finding the Fourth Proportional to 227.22, 313.21 and 208.39

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Solution

The fourth proportional to 227.22, 313.21 and 208.39 is: 287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.22 : 313.21 = 208.39 : x
  2. Step 2: Convert to fraction form
    227.22/313.21 = 208.39/x
  3. Step 3: Cross multiply
    227.22x = 313.21 × 208.39
  4. Step 4: Simplify right side
    227.22x = 65,268.53
  5. Step 5: Solve for x
    x = 65,268.53/227.22
  6. Step 6: Final answer
    x = 287.25

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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.