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Finding the Fourth Proportional to 184.68, 276.41 and 150.05

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Solution

The fourth proportional to 184.68, 276.41 and 150.05 is: 224.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 276.41 = 150.05 : x
  2. Step 2: Convert to fraction form
    184.68/276.41 = 150.05/x
  3. Step 3: Cross multiply
    184.68x = 276.41 × 150.05
  4. Step 4: Simplify right side
    184.68x = 41,476.39
  5. Step 5: Solve for x
    x = 41,476.39/184.68
  6. Step 6: Final answer
    x = 224.59

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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.