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Finding the Fourth Proportional to 276.56, 414.78 and 114.05

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Solution

The fourth proportional to 276.56, 414.78 and 114.05 is: 171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.56 : 414.78 = 114.05 : x
  2. Step 2: Convert to fraction form
    276.56/414.78 = 114.05/x
  3. Step 3: Cross multiply
    276.56x = 414.78 × 114.05
  4. Step 4: Simplify right side
    276.56x = 47,303.59
  5. Step 5: Solve for x
    x = 47,303.59/276.56
  6. Step 6: Final answer
    x = 171.05

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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.