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Finding the Fourth Proportional to 329.65, 494.07 and 185.07

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Solution

The fourth proportional to 329.65, 494.07 and 185.07 is: 277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.65 : 494.07 = 185.07 : x
  2. Step 2: Convert to fraction form
    329.65/494.07 = 185.07/x
  3. Step 3: Cross multiply
    329.65x = 494.07 × 185.07
  4. Step 4: Simplify right side
    329.65x = 91,435.06
  5. Step 5: Solve for x
    x = 91,435.06/329.65
  6. Step 6: Final answer
    x = 277.37

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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.