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Finding the Fourth Proportional to 276.36, 414.54 and 84

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Solution

The fourth proportional to 276.36, 414.54 and 84 is: 126

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.36 : 414.54 = 84 : x
  2. Step 2: Convert to fraction form
    276.36/414.54 = 84/x
  3. Step 3: Cross multiply
    276.36x = 414.54 × 84
  4. Step 4: Simplify right side
    276.36x = 34,821.36
  5. Step 5: Solve for x
    x = 34,821.36/276.36
  6. Step 6: Final answer
    x = 126

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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.