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Finding the Fourth Proportional to 227.89, 314.37 and 165.62

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Solution

The fourth proportional to 227.89, 314.37 and 165.62 is: 228.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.89 : 314.37 = 165.62 : x
  2. Step 2: Convert to fraction form
    227.89/314.37 = 165.62/x
  3. Step 3: Cross multiply
    227.89x = 314.37 × 165.62
  4. Step 4: Simplify right side
    227.89x = 52,063.56
  5. Step 5: Solve for x
    x = 52,063.56/227.89
  6. Step 6: Final answer
    x = 228.46

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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.