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Finding the Fourth Proportional to 268.16, 369.84 and 194.44

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Solution

The fourth proportional to 268.16, 369.84 and 194.44 is: 268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.16 : 369.84 = 194.44 : x
  2. Step 2: Convert to fraction form
    268.16/369.84 = 194.44/x
  3. Step 3: Cross multiply
    268.16x = 369.84 × 194.44
  4. Step 4: Simplify right side
    268.16x = 71,911.69
  5. Step 5: Solve for x
    x = 71,911.69/268.16
  6. Step 6: Final answer
    x = 268.17

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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.