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Finding the Fourth Proportional to 213.86, 320.94 and 165.23

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Solution

The fourth proportional to 213.86, 320.94 and 165.23 is: 247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.86 : 320.94 = 165.23 : x
  2. Step 2: Convert to fraction form
    213.86/320.94 = 165.23/x
  3. Step 3: Cross multiply
    213.86x = 320.94 × 165.23
  4. Step 4: Simplify right side
    213.86x = 53,028.12
  5. Step 5: Solve for x
    x = 53,028.12/213.86
  6. Step 6: Final answer
    x = 247.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.