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Finding the Fourth Proportional to 184.95, 276.96 and 150.54

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Solution

The fourth proportional to 184.95, 276.96 and 150.54 is: 225.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 276.96 = 150.54 : x
  2. Step 2: Convert to fraction form
    184.95/276.96 = 150.54/x
  3. Step 3: Cross multiply
    184.95x = 276.96 × 150.54
  4. Step 4: Simplify right side
    184.95x = 41,693.56
  5. Step 5: Solve for x
    x = 41,693.56/184.95
  6. Step 6: Final answer
    x = 225.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.