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Finding the Fourth Proportional to 270.75, 376.08 and 266.56

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Solution

The fourth proportional to 270.75, 376.08 and 266.56 is: 370.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.75 : 376.08 = 266.56 : x
  2. Step 2: Convert to fraction form
    270.75/376.08 = 266.56/x
  3. Step 3: Cross multiply
    270.75x = 376.08 × 266.56
  4. Step 4: Simplify right side
    270.75x = 100,246.00
  5. Step 5: Solve for x
    x = 100,246.00/270.75
  6. Step 6: Final answer
    x = 370.26

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.