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Finding the Fourth Proportional to 276.46, 414.69 and 114.04

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Solution

The fourth proportional to 276.46, 414.69 and 114.04 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.46 : 414.69 = 114.04 : x
  2. Step 2: Convert to fraction form
    276.46/414.69 = 114.04/x
  3. Step 3: Cross multiply
    276.46x = 414.69 × 114.04
  4. Step 4: Simplify right side
    276.46x = 47,290.21
  5. Step 5: Solve for x
    x = 47,290.21/276.46
  6. Step 6: Final answer
    x = 171.06

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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.