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Finding the Fourth Proportional to 227.23, 313.71 and 165

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Solution

The fourth proportional to 227.23, 313.71 and 165 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.23 : 313.71 = 165 : x
  2. Step 2: Convert to fraction form
    227.23/313.71 = 165/x
  3. Step 3: Cross multiply
    227.23x = 313.71 × 165
  4. Step 4: Simplify right side
    227.23x = 51,762.15
  5. Step 5: Solve for x
    x = 51,762.15/227.23
  6. Step 6: Final answer
    x = 227.80

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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.