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Finding the Fourth Proportional to 227.69, 313.50 and 190.77

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Solution

The fourth proportional to 227.69, 313.50 and 190.77 is: 262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.69 : 313.50 = 190.77 : x
  2. Step 2: Convert to fraction form
    227.69/313.50 = 190.77/x
  3. Step 3: Cross multiply
    227.69x = 313.50 × 190.77
  4. Step 4: Simplify right side
    227.69x = 59,805.93
  5. Step 5: Solve for x
    x = 59,805.93/227.69
  6. Step 6: Final answer
    x = 262.67

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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.