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Finding the Fourth Proportional to 305.56, 421.64 and 181.23

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Solution

The fourth proportional to 305.56, 421.64 and 181.23 is: 250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.56 : 421.64 = 181.23 : x
  2. Step 2: Convert to fraction form
    305.56/421.64 = 181.23/x
  3. Step 3: Cross multiply
    305.56x = 421.64 × 181.23
  4. Step 4: Simplify right side
    305.56x = 76,413.82
  5. Step 5: Solve for x
    x = 76,413.82/305.56
  6. Step 6: Final answer
    x = 250.08

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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.