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Finding the Fourth Proportional to 392.96, 589.34 and 119.07

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Solution

The fourth proportional to 392.96, 589.34 and 119.07 is: 178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.96 : 589.34 = 119.07 : x
  2. Step 2: Convert to fraction form
    392.96/589.34 = 119.07/x
  3. Step 3: Cross multiply
    392.96x = 589.34 × 119.07
  4. Step 4: Simplify right side
    392.96x = 70,172.71
  5. Step 5: Solve for x
    x = 70,172.71/392.96
  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.