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Finding the Fourth Proportional to 270.08, 371.76 and 248.84

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Solution

The fourth proportional to 270.08, 371.76 and 248.84 is: 342.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.08 : 371.76 = 248.84 : x
  2. Step 2: Convert to fraction form
    270.08/371.76 = 248.84/x
  3. Step 3: Cross multiply
    270.08x = 371.76 × 248.84
  4. Step 4: Simplify right side
    270.08x = 92,508.76
  5. Step 5: Solve for x
    x = 92,508.76/270.08
  6. Step 6: Final answer
    x = 342.52

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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.