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Finding the Fourth Proportional to 268.09, 369.53 and 197.93

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Solution

The fourth proportional to 268.09, 369.53 and 197.93 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.09 : 369.53 = 197.93 : x
  2. Step 2: Convert to fraction form
    268.09/369.53 = 197.93/x
  3. Step 3: Cross multiply
    268.09x = 369.53 × 197.93
  4. Step 4: Simplify right side
    268.09x = 73,139.23
  5. Step 5: Solve for x
    x = 73,139.23/268.09
  6. Step 6: Final answer
    x = 272.82

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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.