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Finding the Fourth Proportional to 325.94, 488.96 and 109.50

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Solution

The fourth proportional to 325.94, 488.96 and 109.50 is: 164.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.94 : 488.96 = 109.50 : x
  2. Step 2: Convert to fraction form
    325.94/488.96 = 109.50/x
  3. Step 3: Cross multiply
    325.94x = 488.96 × 109.50
  4. Step 4: Simplify right side
    325.94x = 53,540.57
  5. Step 5: Solve for x
    x = 53,540.57/325.94
  6. Step 6: Final answer
    x = 164.27

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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.