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Finding the Fourth Proportional to 325.67, 488.30 and 120.20

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Solution

The fourth proportional to 325.67, 488.30 and 120.20 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.67 : 488.30 = 120.20 : x
  2. Step 2: Convert to fraction form
    325.67/488.30 = 120.20/x
  3. Step 3: Cross multiply
    325.67x = 488.30 × 120.20
  4. Step 4: Simplify right side
    325.67x = 58,690.62
  5. Step 5: Solve for x
    x = 58,690.62/325.67
  6. Step 6: Final answer
    x = 180.22

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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.