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Finding the Fourth Proportional to 325.65, 488.42 and 109.23

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Solution

The fourth proportional to 325.65, 488.42 and 109.23 is: 163.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.65 : 488.42 = 109.23 : x
  2. Step 2: Convert to fraction form
    325.65/488.42 = 109.23/x
  3. Step 3: Cross multiply
    325.65x = 488.42 × 109.23
  4. Step 4: Simplify right side
    325.65x = 53,349.57
  5. Step 5: Solve for x
    x = 53,349.57/325.65
  6. Step 6: Final answer
    x = 163.82

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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.