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Finding the Fourth Proportional to 184.44, 276.71 and 88.23

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Solution

The fourth proportional to 184.44, 276.71 and 88.23 is: 132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.44 : 276.71 = 88.23 : x
  2. Step 2: Convert to fraction form
    184.44/276.71 = 88.23/x
  3. Step 3: Cross multiply
    184.44x = 276.71 × 88.23
  4. Step 4: Simplify right side
    184.44x = 24,413.68
  5. Step 5: Solve for x
    x = 24,413.68/184.44
  6. Step 6: Final answer
    x = 132.37

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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.