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Finding the Fourth Proportional to 268.19, 369.93 and 198.23

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Solution

The fourth proportional to 268.19, 369.93 and 198.23 is: 273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.19 : 369.93 = 198.23 : x
  2. Step 2: Convert to fraction form
    268.19/369.93 = 198.23/x
  3. Step 3: Cross multiply
    268.19x = 369.93 × 198.23
  4. Step 4: Simplify right side
    268.19x = 73,330.12
  5. Step 5: Solve for x
    x = 73,330.12/268.19
  6. Step 6: Final answer
    x = 273.43

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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.