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Finding the Fourth Proportional to 268.04, 369.97 and 169.86

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Solution

The fourth proportional to 268.04, 369.97 and 169.86 is: 234.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.04 : 369.97 = 169.86 : x
  2. Step 2: Convert to fraction form
    268.04/369.97 = 169.86/x
  3. Step 3: Cross multiply
    268.04x = 369.97 × 169.86
  4. Step 4: Simplify right side
    268.04x = 62,843.10
  5. Step 5: Solve for x
    x = 62,843.10/268.04
  6. Step 6: Final answer
    x = 234.46

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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.