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Finding the Fourth Proportional to 268.21, 369.95 and 205.91

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Solution

The fourth proportional to 268.21, 369.95 and 205.91 is: 284.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.21 : 369.95 = 205.91 : x
  2. Step 2: Convert to fraction form
    268.21/369.95 = 205.91/x
  3. Step 3: Cross multiply
    268.21x = 369.95 × 205.91
  4. Step 4: Simplify right side
    268.21x = 76,176.40
  5. Step 5: Solve for x
    x = 76,176.40/268.21
  6. Step 6: Final answer
    x = 284.02

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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.