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Finding the Fourth Proportional to 223.84, 335.80 and 79.60

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Solution

The fourth proportional to 223.84, 335.80 and 79.60 is: 119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.84 : 335.80 = 79.60 : x
  2. Step 2: Convert to fraction form
    223.84/335.80 = 79.60/x
  3. Step 3: Cross multiply
    223.84x = 335.80 × 79.60
  4. Step 4: Simplify right side
    223.84x = 26,729.68
  5. Step 5: Solve for x
    x = 26,729.68/223.84
  6. Step 6: Final answer
    x = 119.41

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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.