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Finding the Fourth Proportional to 227.52, 314.42 and 183.78

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Solution

The fourth proportional to 227.52, 314.42 and 183.78 is: 253.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.52 : 314.42 = 183.78 : x
  2. Step 2: Convert to fraction form
    227.52/314.42 = 183.78/x
  3. Step 3: Cross multiply
    227.52x = 314.42 × 183.78
  4. Step 4: Simplify right side
    227.52x = 57,783.19
  5. Step 5: Solve for x
    x = 57,783.19/227.52
  6. Step 6: Final answer
    x = 253.97

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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.