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Finding the Fourth Proportional to 388.22, 582.38 and 114.44

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Solution

The fourth proportional to 388.22, 582.38 and 114.44 is: 171.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.22 : 582.38 = 114.44 : x
  2. Step 2: Convert to fraction form
    388.22/582.38 = 114.44/x
  3. Step 3: Cross multiply
    388.22x = 582.38 × 114.44
  4. Step 4: Simplify right side
    388.22x = 66,647.57
  5. Step 5: Solve for x
    x = 66,647.57/388.22
  6. Step 6: Final answer
    x = 171.67

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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.