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Finding the Fourth Proportional to 227.59, 313.94 and 143.43

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Solution

The fourth proportional to 227.59, 313.94 and 143.43 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.59 : 313.94 = 143.43 : x
  2. Step 2: Convert to fraction form
    227.59/313.94 = 143.43/x
  3. Step 3: Cross multiply
    227.59x = 313.94 × 143.43
  4. Step 4: Simplify right side
    227.59x = 45,028.77
  5. Step 5: Solve for x
    x = 45,028.77/227.59
  6. Step 6: Final answer
    x = 197.85

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