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Finding the Fourth Proportional to 226.99, 313.07 and 192.11

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Solution

The fourth proportional to 226.99, 313.07 and 192.11 is: 264.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.99 : 313.07 = 192.11 : x
  2. Step 2: Convert to fraction form
    226.99/313.07 = 192.11/x
  3. Step 3: Cross multiply
    226.99x = 313.07 × 192.11
  4. Step 4: Simplify right side
    226.99x = 60,143.70
  5. Step 5: Solve for x
    x = 60,143.70/226.99
  6. Step 6: Final answer
    x = 264.96

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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.