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Finding the Fourth Proportional to 223.56, 308.41 and 149.85

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Solution

The fourth proportional to 223.56, 308.41 and 149.85 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.56 : 308.41 = 149.85 : x
  2. Step 2: Convert to fraction form
    223.56/308.41 = 149.85/x
  3. Step 3: Cross multiply
    223.56x = 308.41 × 149.85
  4. Step 4: Simplify right side
    223.56x = 46,214.86
  5. Step 5: Solve for x
    x = 46,214.86/223.56
  6. Step 6: Final answer
    x = 206.72

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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.