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Finding the Fourth Proportional to 488.38, 732.31 and 163.64

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Solution

The fourth proportional to 488.38, 732.31 and 163.64 is: 245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.38 : 732.31 = 163.64 : x
  2. Step 2: Convert to fraction form
    488.38/732.31 = 163.64/x
  3. Step 3: Cross multiply
    488.38x = 732.31 × 163.64
  4. Step 4: Simplify right side
    488.38x = 119,835.21
  5. Step 5: Solve for x
    x = 119,835.21/488.38
  6. Step 6: Final answer
    x = 245.37

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Why These Related Problems?

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