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Finding the Fourth Proportional to 276.84, 414.75 and 140.04

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Solution

The fourth proportional to 276.84, 414.75 and 140.04 is: 209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.84 : 414.75 = 140.04 : x
  2. Step 2: Convert to fraction form
    276.84/414.75 = 140.04/x
  3. Step 3: Cross multiply
    276.84x = 414.75 × 140.04
  4. Step 4: Simplify right side
    276.84x = 58,081.59
  5. Step 5: Solve for x
    x = 58,081.59/276.84
  6. Step 6: Final answer
    x = 209.80

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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.