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Finding the Fourth Proportional to 296.10, 408.59 and 226.21

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Solution

The fourth proportional to 296.10, 408.59 and 226.21 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.10 : 408.59 = 226.21 : x
  2. Step 2: Convert to fraction form
    296.10/408.59 = 226.21/x
  3. Step 3: Cross multiply
    296.10x = 408.59 × 226.21
  4. Step 4: Simplify right side
    296.10x = 92,424.54
  5. Step 5: Solve for x
    x = 92,424.54/296.10
  6. Step 6: Final answer
    x = 312.14

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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.