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Finding the Fourth Proportional to 226.95, 313.19 and 143.97

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Solution

The fourth proportional to 226.95, 313.19 and 143.97 is: 198.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.95 : 313.19 = 143.97 : x
  2. Step 2: Convert to fraction form
    226.95/313.19 = 143.97/x
  3. Step 3: Cross multiply
    226.95x = 313.19 × 143.97
  4. Step 4: Simplify right side
    226.95x = 45,089.96
  5. Step 5: Solve for x
    x = 45,089.96/226.95
  6. Step 6: Final answer
    x = 198.68

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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.