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Finding the Fourth Proportional to 329.96, 494.93 and 185.78

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Solution

The fourth proportional to 329.96, 494.93 and 185.78 is: 278.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.96 : 494.93 = 185.78 : x
  2. Step 2: Convert to fraction form
    329.96/494.93 = 185.78/x
  3. Step 3: Cross multiply
    329.96x = 494.93 × 185.78
  4. Step 4: Simplify right side
    329.96x = 91,946.09
  5. Step 5: Solve for x
    x = 91,946.09/329.96
  6. Step 6: Final answer
    x = 278.66

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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.