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Finding the Fourth Proportional to 550.45, 825.35 and 185.23

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Solution

The fourth proportional to 550.45, 825.35 and 185.23 is: 277.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.45 : 825.35 = 185.23 : x
  2. Step 2: Convert to fraction form
    550.45/825.35 = 185.23/x
  3. Step 3: Cross multiply
    550.45x = 825.35 × 185.23
  4. Step 4: Simplify right side
    550.45x = 152,878.65
  5. Step 5: Solve for x
    x = 152,878.65/550.45
  6. Step 6: Final answer
    x = 277.73

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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.