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Finding the Fourth Proportional to 325.96, 488.96 and 109.48

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Solution

The fourth proportional to 325.96, 488.96 and 109.48 is: 164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.96 : 488.96 = 109.48 : x
  2. Step 2: Convert to fraction form
    325.96/488.96 = 109.48/x
  3. Step 3: Cross multiply
    325.96x = 488.96 × 109.48
  4. Step 4: Simplify right side
    325.96x = 53,531.34
  5. Step 5: Solve for x
    x = 53,531.34/325.96
  6. Step 6: Final answer
    x = 164.23

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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.