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Finding the Fourth Proportional to 550.37, 825.24 and 179.99

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Solution

The fourth proportional to 550.37, 825.24 and 179.99 is: 269.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.37 : 825.24 = 179.99 : x
  2. Step 2: Convert to fraction form
    550.37/825.24 = 179.99/x
  3. Step 3: Cross multiply
    550.37x = 825.24 × 179.99
  4. Step 4: Simplify right side
    550.37x = 148,534.95
  5. Step 5: Solve for x
    x = 148,534.95/550.37
  6. Step 6: Final answer
    x = 269.88

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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.