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Finding the Fourth Proportional to 227.67, 314.09 and 134.36

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Solution

The fourth proportional to 227.67, 314.09 and 134.36 is: 185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.67 : 314.09 = 134.36 : x
  2. Step 2: Convert to fraction form
    227.67/314.09 = 134.36/x
  3. Step 3: Cross multiply
    227.67x = 314.09 × 134.36
  4. Step 4: Simplify right side
    227.67x = 42,198.89
  5. Step 5: Solve for x
    x = 42,198.89/227.67
  6. Step 6: Final answer
    x = 185.35

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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.