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Finding the Fourth Proportional to 226.10, 312.24 and 193.16

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Solution

The fourth proportional to 226.10, 312.24 and 193.16 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 312.24 = 193.16 : x
  2. Step 2: Convert to fraction form
    226.10/312.24 = 193.16/x
  3. Step 3: Cross multiply
    226.10x = 312.24 × 193.16
  4. Step 4: Simplify right side
    226.10x = 60,310.72
  5. Step 5: Solve for x
    x = 60,310.72/226.10
  6. Step 6: Final answer
    x = 266.75

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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.