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Finding the Fourth Proportional to 297.12, 409.96 and 227.26

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Solution

The fourth proportional to 297.12, 409.96 and 227.26 is: 313.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.12 : 409.96 = 227.26 : x
  2. Step 2: Convert to fraction form
    297.12/409.96 = 227.26/x
  3. Step 3: Cross multiply
    297.12x = 409.96 × 227.26
  4. Step 4: Simplify right side
    297.12x = 93,166.48
  5. Step 5: Solve for x
    x = 93,166.48/297.12
  6. Step 6: Final answer
    x = 313.57

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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.