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Finding the Fourth Proportional to 226.29, 313.10 and 197.25

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Solution

The fourth proportional to 226.29, 313.10 and 197.25 is: 272.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.29 : 313.10 = 197.25 : x
  2. Step 2: Convert to fraction form
    226.29/313.10 = 197.25/x
  3. Step 3: Cross multiply
    226.29x = 313.10 × 197.25
  4. Step 4: Simplify right side
    226.29x = 61,757.41
  5. Step 5: Solve for x
    x = 61,757.41/226.29
  6. Step 6: Final answer
    x = 272.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.