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Finding the Fourth Proportional to 227.27, 313.62 and 123.77

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Solution

The fourth proportional to 227.27, 313.62 and 123.77 is: 170.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.27 : 313.62 = 123.77 : x
  2. Step 2: Convert to fraction form
    227.27/313.62 = 123.77/x
  3. Step 3: Cross multiply
    227.27x = 313.62 × 123.77
  4. Step 4: Simplify right side
    227.27x = 38,816.75
  5. Step 5: Solve for x
    x = 38,816.75/227.27
  6. Step 6: Final answer
    x = 170.80

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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.