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Finding the Fourth Proportional to 325.85, 488.84 and 109.43

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Solution

The fourth proportional to 325.85, 488.84 and 109.43 is: 164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.85 : 488.84 = 109.43 : x
  2. Step 2: Convert to fraction form
    325.85/488.84 = 109.43/x
  3. Step 3: Cross multiply
    325.85x = 488.84 × 109.43
  4. Step 4: Simplify right side
    325.85x = 53,490.77
  5. Step 5: Solve for x
    x = 53,490.77/325.85
  6. Step 6: Final answer
    x = 164.16

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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.