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Finding the Fourth Proportional to 270.83, 406.35 and 194.28

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Solution

The fourth proportional to 270.83, 406.35 and 194.28 is: 291.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.83 : 406.35 = 194.28 : x
  2. Step 2: Convert to fraction form
    270.83/406.35 = 194.28/x
  3. Step 3: Cross multiply
    270.83x = 406.35 × 194.28
  4. Step 4: Simplify right side
    270.83x = 78,945.68
  5. Step 5: Solve for x
    x = 78,945.68/270.83
  6. Step 6: Final answer
    x = 291.50

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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.