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Finding the Fourth Proportional to 270.26, 405.38 and 205.39

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Solution

The fourth proportional to 270.26, 405.38 and 205.39 is: 308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.26 : 405.38 = 205.39 : x
  2. Step 2: Convert to fraction form
    270.26/405.38 = 205.39/x
  3. Step 3: Cross multiply
    270.26x = 405.38 × 205.39
  4. Step 4: Simplify right side
    270.26x = 83,262.02
  5. Step 5: Solve for x
    x = 83,262.02/270.26
  6. Step 6: Final answer
    x = 308.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.