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Finding the Fourth Proportional to 227.54, 314.16 and 157.74

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Solution

The fourth proportional to 227.54, 314.16 and 157.74 is: 217.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.54 : 314.16 = 157.74 : x
  2. Step 2: Convert to fraction form
    227.54/314.16 = 157.74/x
  3. Step 3: Cross multiply
    227.54x = 314.16 × 157.74
  4. Step 4: Simplify right side
    227.54x = 49,555.60
  5. Step 5: Solve for x
    x = 49,555.60/227.54
  6. Step 6: Final answer
    x = 217.79

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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.