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Finding the Fourth Proportional to 227.26, 313.70 and 186.27

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Solution

The fourth proportional to 227.26, 313.70 and 186.27 is: 257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 313.70 = 186.27 : x
  2. Step 2: Convert to fraction form
    227.26/313.70 = 186.27/x
  3. Step 3: Cross multiply
    227.26x = 313.70 × 186.27
  4. Step 4: Simplify right side
    227.26x = 58,432.90
  5. Step 5: Solve for x
    x = 58,432.90/227.26
  6. Step 6: Final answer
    x = 257.12

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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.