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Finding the Fourth Proportional to 185.22, 276.48 and 167.87

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Solution

The fourth proportional to 185.22, 276.48 and 167.87 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.22 : 276.48 = 167.87 : x
  2. Step 2: Convert to fraction form
    185.22/276.48 = 167.87/x
  3. Step 3: Cross multiply
    185.22x = 276.48 × 167.87
  4. Step 4: Simplify right side
    185.22x = 46,413.39
  5. Step 5: Solve for x
    x = 46,413.39/185.22
  6. Step 6: Final answer
    x = 250.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.