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Finding the Fourth Proportional to 329.06, 493.64 and 109.68

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Solution

The fourth proportional to 329.06, 493.64 and 109.68 is: 164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 493.64 = 109.68 : x
  2. Step 2: Convert to fraction form
    329.06/493.64 = 109.68/x
  3. Step 3: Cross multiply
    329.06x = 493.64 × 109.68
  4. Step 4: Simplify right side
    329.06x = 54,142.44
  5. Step 5: Solve for x
    x = 54,142.44/329.06
  6. Step 6: Final answer
    x = 164.54

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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.