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Finding the Fourth Proportional to 276.74, 415.25 and 212.15

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Solution

The fourth proportional to 276.74, 415.25 and 212.15 is: 318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.74 : 415.25 = 212.15 : x
  2. Step 2: Convert to fraction form
    276.74/415.25 = 212.15/x
  3. Step 3: Cross multiply
    276.74x = 415.25 × 212.15
  4. Step 4: Simplify right side
    276.74x = 88,097.11
  5. Step 5: Solve for x
    x = 88,097.11/276.74
  6. Step 6: Final answer
    x = 318.34

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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.