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Finding the Fourth Proportional to 392.75, 589.14 and 132.74

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Solution

The fourth proportional to 392.75, 589.14 and 132.74 is: 199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.75 : 589.14 = 132.74 : x
  2. Step 2: Convert to fraction form
    392.75/589.14 = 132.74/x
  3. Step 3: Cross multiply
    392.75x = 589.14 × 132.74
  4. Step 4: Simplify right side
    392.75x = 78,199.50
  5. Step 5: Solve for x
    x = 78,199.50/392.75
  6. Step 6: Final answer
    x = 199.11

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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.