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Finding the Fourth Proportional to 227.04, 313.37 and 133.83

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Solution

The fourth proportional to 227.04, 313.37 and 133.83 is: 184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.04 : 313.37 = 133.83 : x
  2. Step 2: Convert to fraction form
    227.04/313.37 = 133.83/x
  3. Step 3: Cross multiply
    227.04x = 313.37 × 133.83
  4. Step 4: Simplify right side
    227.04x = 41,938.31
  5. Step 5: Solve for x
    x = 41,938.31/227.04
  6. Step 6: Final answer
    x = 184.72

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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.