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Finding the Fourth Proportional to 181.04, 270.34 and 179.09

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Solution

The fourth proportional to 181.04, 270.34 and 179.09 is: 267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.04 : 270.34 = 179.09 : x
  2. Step 2: Convert to fraction form
    181.04/270.34 = 179.09/x
  3. Step 3: Cross multiply
    181.04x = 270.34 × 179.09
  4. Step 4: Simplify right side
    181.04x = 48,413.64
  5. Step 5: Solve for x
    x = 48,413.64/181.04
  6. Step 6: Final answer
    x = 267.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.