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Finding the Fourth Proportional to 227.81, 340.79 and 182.25

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Solution

The fourth proportional to 227.81, 340.79 and 182.25 is: 272.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.81 : 340.79 = 182.25 : x
  2. Step 2: Convert to fraction form
    227.81/340.79 = 182.25/x
  3. Step 3: Cross multiply
    227.81x = 340.79 × 182.25
  4. Step 4: Simplify right side
    227.81x = 62,108.07
  5. Step 5: Solve for x
    x = 62,108.07/227.81
  6. Step 6: Final answer
    x = 272.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.