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Finding the Fourth Proportional to 223.43, 308.23 and 149.77

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Solution

The fourth proportional to 223.43, 308.23 and 149.77 is: 206.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.43 : 308.23 = 149.77 : x
  2. Step 2: Convert to fraction form
    223.43/308.23 = 149.77/x
  3. Step 3: Cross multiply
    223.43x = 308.23 × 149.77
  4. Step 4: Simplify right side
    223.43x = 46,163.61
  5. Step 5: Solve for x
    x = 46,163.61/223.43
  6. Step 6: Final answer
    x = 206.61

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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.