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Finding the Fourth Proportional to 270.98, 406.50 and 255.14

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Solution

The fourth proportional to 270.98, 406.50 and 255.14 is: 382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 406.50 = 255.14 : x
  2. Step 2: Convert to fraction form
    270.98/406.50 = 255.14/x
  3. Step 3: Cross multiply
    270.98x = 406.50 × 255.14
  4. Step 4: Simplify right side
    270.98x = 103,714.41
  5. Step 5: Solve for x
    x = 103,714.41/270.98
  6. Step 6: Final answer
    x = 382.74

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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.