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Finding the Fourth Proportional to 263.81, 363.96 and 165.67

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Solution

The fourth proportional to 263.81, 363.96 and 165.67 is: 228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.81 : 363.96 = 165.67 : x
  2. Step 2: Convert to fraction form
    263.81/363.96 = 165.67/x
  3. Step 3: Cross multiply
    263.81x = 363.96 × 165.67
  4. Step 4: Simplify right side
    263.81x = 60,296.34
  5. Step 5: Solve for x
    x = 60,296.34/263.81
  6. Step 6: Final answer
    x = 228.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.