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Finding the Fourth Proportional to 329.22, 493.74 and 120.96

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Solution

The fourth proportional to 329.22, 493.74 and 120.96 is: 181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.22 : 493.74 = 120.96 : x
  2. Step 2: Convert to fraction form
    329.22/493.74 = 120.96/x
  3. Step 3: Cross multiply
    329.22x = 493.74 × 120.96
  4. Step 4: Simplify right side
    329.22x = 59,722.79
  5. Step 5: Solve for x
    x = 59,722.79/329.22
  6. Step 6: Final answer
    x = 181.41

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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.