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Finding the Fourth Proportional to 227.25, 313.83 and 161.01

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Solution

The fourth proportional to 227.25, 313.83 and 161.01 is: 222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.25 : 313.83 = 161.01 : x
  2. Step 2: Convert to fraction form
    227.25/313.83 = 161.01/x
  3. Step 3: Cross multiply
    227.25x = 313.83 × 161.01
  4. Step 4: Simplify right side
    227.25x = 50,529.77
  5. Step 5: Solve for x
    x = 50,529.77/227.25
  6. Step 6: Final answer
    x = 222.35

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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.