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Finding the Fourth Proportional to 270.28, 372.96 and 182.98

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Solution

The fourth proportional to 270.28, 372.96 and 182.98 is: 252.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.28 : 372.96 = 182.98 : x
  2. Step 2: Convert to fraction form
    270.28/372.96 = 182.98/x
  3. Step 3: Cross multiply
    270.28x = 372.96 × 182.98
  4. Step 4: Simplify right side
    270.28x = 68,244.22
  5. Step 5: Solve for x
    x = 68,244.22/270.28
  6. Step 6: Final answer
    x = 252.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.