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Finding the Fourth Proportional to 276.97, 415.34 and 140.09

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Solution

The fourth proportional to 276.97, 415.34 and 140.09 is: 210.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.97 : 415.34 = 140.09 : x
  2. Step 2: Convert to fraction form
    276.97/415.34 = 140.09/x
  3. Step 3: Cross multiply
    276.97x = 415.34 × 140.09
  4. Step 4: Simplify right side
    276.97x = 58,184.98
  5. Step 5: Solve for x
    x = 58,184.98/276.97
  6. Step 6: Final answer
    x = 210.08

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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.