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Finding the Fourth Proportional to 407.18, 610.81 and 163.68

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Solution

The fourth proportional to 407.18, 610.81 and 163.68 is: 245.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.18 : 610.81 = 163.68 : x
  2. Step 2: Convert to fraction form
    407.18/610.81 = 163.68/x
  3. Step 3: Cross multiply
    407.18x = 610.81 × 163.68
  4. Step 4: Simplify right side
    407.18x = 99,974.33
  5. Step 5: Solve for x
    x = 99,974.33/407.18
  6. Step 6: Final answer
    x = 245.53

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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.