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Finding the Fourth Proportional to 358.68, 537.68 and 163.81

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Solution

The fourth proportional to 358.68, 537.68 and 163.81 is: 245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.68 : 537.68 = 163.81 : x
  2. Step 2: Convert to fraction form
    358.68/537.68 = 163.81/x
  3. Step 3: Cross multiply
    358.68x = 537.68 × 163.81
  4. Step 4: Simplify right side
    358.68x = 88,078.44
  5. Step 5: Solve for x
    x = 88,078.44/358.68
  6. Step 6: Final answer
    x = 245.56

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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.