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Finding the Fourth Proportional to 325.85, 488.67 and 109.38

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Solution

The fourth proportional to 325.85, 488.67 and 109.38 is: 164.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.85 : 488.67 = 109.38 : x
  2. Step 2: Convert to fraction form
    325.85/488.67 = 109.38/x
  3. Step 3: Cross multiply
    325.85x = 488.67 × 109.38
  4. Step 4: Simplify right side
    325.85x = 53,448.28
  5. Step 5: Solve for x
    x = 53,448.28/325.85
  6. Step 6: Final answer
    x = 164.03

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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.