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Finding the Fourth Proportional to 329.55, 494.21 and 121.26

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Solution

The fourth proportional to 329.55, 494.21 and 121.26 is: 181.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.55 : 494.21 = 121.26 : x
  2. Step 2: Convert to fraction form
    329.55/494.21 = 121.26/x
  3. Step 3: Cross multiply
    329.55x = 494.21 × 121.26
  4. Step 4: Simplify right side
    329.55x = 59,927.90
  5. Step 5: Solve for x
    x = 59,927.90/329.55
  6. Step 6: Final answer
    x = 181.85

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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.