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Finding the Fourth Proportional to 270.56, 370.08 and 270.56

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Solution

The fourth proportional to 270.56, 370.08 and 270.56 is: 370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.56 : 370.08 = 270.56 : x
  2. Step 2: Convert to fraction form
    270.56/370.08 = 270.56/x
  3. Step 3: Cross multiply
    270.56x = 370.08 × 270.56
  4. Step 4: Simplify right side
    270.56x = 100,128.84
  5. Step 5: Solve for x
    x = 100,128.84/270.56
  6. Step 6: Final answer
    x = 370.08

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.