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Finding the Fourth Proportional to 388.28, 582.42 and 131.78

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Solution

The fourth proportional to 388.28, 582.42 and 131.78 is: 197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.28 : 582.42 = 131.78 : x
  2. Step 2: Convert to fraction form
    388.28/582.42 = 131.78/x
  3. Step 3: Cross multiply
    388.28x = 582.42 × 131.78
  4. Step 4: Simplify right side
    388.28x = 76,751.31
  5. Step 5: Solve for x
    x = 76,751.31/388.28
  6. Step 6: Final answer
    x = 197.67

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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.