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Finding the Fourth Proportional to 227.74, 314.13 and 162.28

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Solution

The fourth proportional to 227.74, 314.13 and 162.28 is: 223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.74 : 314.13 = 162.28 : x
  2. Step 2: Convert to fraction form
    227.74/314.13 = 162.28/x
  3. Step 3: Cross multiply
    227.74x = 314.13 × 162.28
  4. Step 4: Simplify right side
    227.74x = 50,977.02
  5. Step 5: Solve for x
    x = 50,977.02/227.74
  6. Step 6: Final answer
    x = 223.84

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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.