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Finding the Fourth Proportional to 296.73, 447.12 and 243.81

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Solution

The fourth proportional to 296.73, 447.12 and 243.81 is: 367.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.73 : 447.12 = 243.81 : x
  2. Step 2: Convert to fraction form
    296.73/447.12 = 243.81/x
  3. Step 3: Cross multiply
    296.73x = 447.12 × 243.81
  4. Step 4: Simplify right side
    296.73x = 109,012.33
  5. Step 5: Solve for x
    x = 109,012.33/296.73
  6. Step 6: Final answer
    x = 367.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.