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Finding the Fourth Proportional to 184.96, 276.38 and 180.86

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Solution

The fourth proportional to 184.96, 276.38 and 180.86 is: 270.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.96 : 276.38 = 180.86 : x
  2. Step 2: Convert to fraction form
    184.96/276.38 = 180.86/x
  3. Step 3: Cross multiply
    184.96x = 276.38 × 180.86
  4. Step 4: Simplify right side
    184.96x = 49,986.09
  5. Step 5: Solve for x
    x = 49,986.09/184.96
  6. Step 6: Final answer
    x = 270.25

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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.