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Finding the Fourth Proportional to 329.56, 494.42 and 192.72

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Solution

The fourth proportional to 329.56, 494.42 and 192.72 is: 289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.56 : 494.42 = 192.72 : x
  2. Step 2: Convert to fraction form
    329.56/494.42 = 192.72/x
  3. Step 3: Cross multiply
    329.56x = 494.42 × 192.72
  4. Step 4: Simplify right side
    329.56x = 95,282.73
  5. Step 5: Solve for x
    x = 95,282.73/329.56
  6. Step 6: Final answer
    x = 289.12

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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.