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Finding the Fourth Proportional to 184.20, 277.25 and 130.44

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Solution

The fourth proportional to 184.20, 277.25 and 130.44 is: 196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.20 : 277.25 = 130.44 : x
  2. Step 2: Convert to fraction form
    184.20/277.25 = 130.44/x
  3. Step 3: Cross multiply
    184.20x = 277.25 × 130.44
  4. Step 4: Simplify right side
    184.20x = 36,163.84
  5. Step 5: Solve for x
    x = 36,163.84/184.20
  6. Step 6: Final answer
    x = 196.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.