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Finding the Fourth Proportional to 392.93, 589.40 and 119.04

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Solution

The fourth proportional to 392.93, 589.40 and 119.04 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.93 : 589.40 = 119.04 : x
  2. Step 2: Convert to fraction form
    392.93/589.40 = 119.04/x
  3. Step 3: Cross multiply
    392.93x = 589.40 × 119.04
  4. Step 4: Simplify right side
    392.93x = 70,163.57
  5. Step 5: Solve for x
    x = 70,163.57/392.93
  6. Step 6: Final answer
    x = 178.57

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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.