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Finding the Fourth Proportional to 550.39, 825.62 and 185.23

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Solution

The fourth proportional to 550.39, 825.62 and 185.23 is: 277.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.39 : 825.62 = 185.23 : x
  2. Step 2: Convert to fraction form
    550.39/825.62 = 185.23/x
  3. Step 3: Cross multiply
    550.39x = 825.62 × 185.23
  4. Step 4: Simplify right side
    550.39x = 152,928.67
  5. Step 5: Solve for x
    x = 152,928.67/550.39
  6. Step 6: Final answer
    x = 277.86

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1.5x scale

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.