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Finding the Fourth Proportional to 230.28, 342.93 and 227.40

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Solution

The fourth proportional to 230.28, 342.93 and 227.40 is: 338.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.28 : 342.93 = 227.40 : x
  2. Step 2: Convert to fraction form
    230.28/342.93 = 227.40/x
  3. Step 3: Cross multiply
    230.28x = 342.93 × 227.40
  4. Step 4: Simplify right side
    230.28x = 77,982.28
  5. Step 5: Solve for x
    x = 77,982.28/230.28
  6. Step 6: Final answer
    x = 338.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.