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Finding the Fourth Proportional to 276.79, 415.21 and 94.24

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Solution

The fourth proportional to 276.79, 415.21 and 94.24 is: 141.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.79 : 415.21 = 94.24 : x
  2. Step 2: Convert to fraction form
    276.79/415.21 = 94.24/x
  3. Step 3: Cross multiply
    276.79x = 415.21 × 94.24
  4. Step 4: Simplify right side
    276.79x = 39,129.39
  5. Step 5: Solve for x
    x = 39,129.39/276.79
  6. Step 6: Final answer
    x = 141.37

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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.