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Finding the Fourth Proportional to 270.87, 406.29 and 184.37

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Solution

The fourth proportional to 270.87, 406.29 and 184.37 is: 276.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.87 : 406.29 = 184.37 : x
  2. Step 2: Convert to fraction form
    270.87/406.29 = 184.37/x
  3. Step 3: Cross multiply
    270.87x = 406.29 × 184.37
  4. Step 4: Simplify right side
    270.87x = 74,905.66
  5. Step 5: Solve for x
    x = 74,905.66/270.87
  6. Step 6: Final answer
    x = 276.54

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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.