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Finding the Fourth Proportional to 296.24, 443.97 and 227.54

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Solution

The fourth proportional to 296.24, 443.97 and 227.54 is: 341.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 443.97 = 227.54 : x
  2. Step 2: Convert to fraction form
    296.24/443.97 = 227.54/x
  3. Step 3: Cross multiply
    296.24x = 443.97 × 227.54
  4. Step 4: Simplify right side
    296.24x = 101,020.93
  5. Step 5: Solve for x
    x = 101,020.93/296.24
  6. Step 6: Final answer
    x = 341.01

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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.