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Finding the Fourth Proportional to 325.62, 488.34 and 109.08

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Solution

The fourth proportional to 325.62, 488.34 and 109.08 is: 163.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.62 : 488.34 = 109.08 : x
  2. Step 2: Convert to fraction form
    325.62/488.34 = 109.08/x
  3. Step 3: Cross multiply
    325.62x = 488.34 × 109.08
  4. Step 4: Simplify right side
    325.62x = 53,268.13
  5. Step 5: Solve for x
    x = 53,268.13/325.62
  6. Step 6: Final answer
    x = 163.59

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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.