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Finding the Fourth Proportional to 392.74, 589.07 and 119.00

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Solution

The fourth proportional to 392.74, 589.07 and 119.00 is: 178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.74 : 589.07 = 119.00 : x
  2. Step 2: Convert to fraction form
    392.74/589.07 = 119.00/x
  3. Step 3: Cross multiply
    392.74x = 589.07 × 119.00
  4. Step 4: Simplify right side
    392.74x = 70,101.10
  5. Step 5: Solve for x
    x = 70,101.10/392.74
  6. Step 6: Final answer
    x = 178.49

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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.