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Finding the Fourth Proportional to 223.09, 334.66 and 76.80

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Solution

The fourth proportional to 223.09, 334.66 and 76.80 is: 115.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.09 : 334.66 = 76.80 : x
  2. Step 2: Convert to fraction form
    223.09/334.66 = 76.80/x
  3. Step 3: Cross multiply
    223.09x = 334.66 × 76.80
  4. Step 4: Simplify right side
    223.09x = 25,701.89
  5. Step 5: Solve for x
    x = 25,701.89/223.09
  6. Step 6: Final answer
    x = 115.21

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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.