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Finding the Fourth Proportional to 223.26, 334.51 and 136.33

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Solution

The fourth proportional to 223.26, 334.51 and 136.33 is: 204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.26 : 334.51 = 136.33 : x
  2. Step 2: Convert to fraction form
    223.26/334.51 = 136.33/x
  3. Step 3: Cross multiply
    223.26x = 334.51 × 136.33
  4. Step 4: Simplify right side
    223.26x = 45,605.22
  5. Step 5: Solve for x
    x = 45,605.22/223.26
  6. Step 6: Final answer
    x = 204.27

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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.