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Finding the Fourth Proportional to 276.58, 414.74 and 84.16

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Solution

The fourth proportional to 276.58, 414.74 and 84.16 is: 126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.58 : 414.74 = 84.16 : x
  2. Step 2: Convert to fraction form
    276.58/414.74 = 84.16/x
  3. Step 3: Cross multiply
    276.58x = 414.74 × 84.16
  4. Step 4: Simplify right side
    276.58x = 34,902.44
  5. Step 5: Solve for x
    x = 34,902.44/276.58
  6. Step 6: Final answer
    x = 126.20

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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.