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Finding the Fourth Proportional to 388.21, 582.41 and 171.85

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Solution

The fourth proportional to 388.21, 582.41 and 171.85 is: 257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.21 : 582.41 = 171.85 : x
  2. Step 2: Convert to fraction form
    388.21/582.41 = 171.85/x
  3. Step 3: Cross multiply
    388.21x = 582.41 × 171.85
  4. Step 4: Simplify right side
    388.21x = 100,087.67
  5. Step 5: Solve for x
    x = 100,087.67/388.21
  6. Step 6: Final answer
    x = 257.82

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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.