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Finding the Fourth Proportional to 223.26, 308.21 and 157.65

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Solution

The fourth proportional to 223.26, 308.21 and 157.65 is: 217.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 308.21 = 157.65 : x
  2. Step 2: Convert to fraction form
    223.26/308.21 = 157.65/x
  3. Step 3: Cross multiply
    223.26x = 308.21 × 157.65
  4. Step 4: Simplify right side
    223.26x = 48,589.31
  5. Step 5: Solve for x
    x = 48,589.31/223.26
  6. Step 6: Final answer
    x = 217.64

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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.