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Finding the Fourth Proportional to 227.59, 313.34 and 198.47

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Solution

The fourth proportional to 227.59, 313.34 and 198.47 is: 273.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 313.34 = 198.47 : x
  2. Step 2: Convert to fraction form
    227.59/313.34 = 198.47/x
  3. Step 3: Cross multiply
    227.59x = 313.34 × 198.47
  4. Step 4: Simplify right side
    227.59x = 62,187.52
  5. Step 5: Solve for x
    x = 62,187.52/227.59
  6. Step 6: Final answer
    x = 273.25

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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.