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Finding the Fourth Proportional to 270.50, 404.94 and 255.14

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Solution

The fourth proportional to 270.50, 404.94 and 255.14 is: 381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 404.94 = 255.14 : x
  2. Step 2: Convert to fraction form
    270.50/404.94 = 255.14/x
  3. Step 3: Cross multiply
    270.50x = 404.94 × 255.14
  4. Step 4: Simplify right side
    270.50x = 103,316.39
  5. Step 5: Solve for x
    x = 103,316.39/270.50
  6. Step 6: Final answer
    x = 381.95

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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.