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Finding the Fourth Proportional to 276.83, 414.80 and 103.25

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Solution

The fourth proportional to 276.83, 414.80 and 103.25 is: 154.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.83 : 414.80 = 103.25 : x
  2. Step 2: Convert to fraction form
    276.83/414.80 = 103.25/x
  3. Step 3: Cross multiply
    276.83x = 414.80 × 103.25
  4. Step 4: Simplify right side
    276.83x = 42,828.62
  5. Step 5: Solve for x
    x = 42,828.62/276.83
  6. Step 6: Final answer
    x = 154.71

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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.