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Finding the Fourth Proportional to 276.99, 414.60 and 184.25

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Solution

The fourth proportional to 276.99, 414.60 and 184.25 is: 275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.99 : 414.60 = 184.25 : x
  2. Step 2: Convert to fraction form
    276.99/414.60 = 184.25/x
  3. Step 3: Cross multiply
    276.99x = 414.60 × 184.25
  4. Step 4: Simplify right side
    276.99x = 76,390.05
  5. Step 5: Solve for x
    x = 76,390.05/276.99
  6. Step 6: Final answer
    x = 275.79

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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.