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Finding the Fourth Proportional to 184.80, 276.97 and 180.25

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Solution

The fourth proportional to 184.80, 276.97 and 180.25 is: 270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 276.97 = 180.25 : x
  2. Step 2: Convert to fraction form
    184.80/276.97 = 180.25/x
  3. Step 3: Cross multiply
    184.80x = 276.97 × 180.25
  4. Step 4: Simplify right side
    184.80x = 49,923.84
  5. Step 5: Solve for x
    x = 49,923.84/184.80
  6. Step 6: Final answer
    x = 270.15

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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.