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Finding the Fourth Proportional to 218.26, 300.92 and 165.86

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Solution

The fourth proportional to 218.26, 300.92 and 165.86 is: 228.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.26 : 300.92 = 165.86 : x
  2. Step 2: Convert to fraction form
    218.26/300.92 = 165.86/x
  3. Step 3: Cross multiply
    218.26x = 300.92 × 165.86
  4. Step 4: Simplify right side
    218.26x = 49,910.59
  5. Step 5: Solve for x
    x = 49,910.59/218.26
  6. Step 6: Final answer
    x = 228.67

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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.