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Finding the Fourth Proportional to 407.08, 610.92 and 163.62

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Solution

The fourth proportional to 407.08, 610.92 and 163.62 is: 245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.08 : 610.92 = 163.62 : x
  2. Step 2: Convert to fraction form
    407.08/610.92 = 163.62/x
  3. Step 3: Cross multiply
    407.08x = 610.92 × 163.62
  4. Step 4: Simplify right side
    407.08x = 99,958.73
  5. Step 5: Solve for x
    x = 99,958.73/407.08
  6. Step 6: Final answer
    x = 245.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.