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Finding the Fourth Proportional to 262.81, 362.18 and 227.73

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Solution

The fourth proportional to 262.81, 362.18 and 227.73 is: 313.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.81 : 362.18 = 227.73 : x
  2. Step 2: Convert to fraction form
    262.81/362.18 = 227.73/x
  3. Step 3: Cross multiply
    262.81x = 362.18 × 227.73
  4. Step 4: Simplify right side
    262.81x = 82,479.25
  5. Step 5: Solve for x
    x = 82,479.25/262.81
  6. Step 6: Final answer
    x = 313.84

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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.