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Finding the Fourth Proportional to 276.74, 414.96 and 94.08

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Solution

The fourth proportional to 276.74, 414.96 and 94.08 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.74 : 414.96 = 94.08 : x
  2. Step 2: Convert to fraction form
    276.74/414.96 = 94.08/x
  3. Step 3: Cross multiply
    276.74x = 414.96 × 94.08
  4. Step 4: Simplify right side
    276.74x = 39,039.44
  5. Step 5: Solve for x
    x = 39,039.44/276.74
  6. Step 6: Final answer
    x = 141.07

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Why These Related Problems?

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