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Finding the Fourth Proportional to 388.26, 582.36 and 171.84

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Solution

The fourth proportional to 388.26, 582.36 and 171.84 is: 257.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.26 : 582.36 = 171.84 : x
  2. Step 2: Convert to fraction form
    388.26/582.36 = 171.84/x
  3. Step 3: Cross multiply
    388.26x = 582.36 × 171.84
  4. Step 4: Simplify right side
    388.26x = 100,072.74
  5. Step 5: Solve for x
    x = 100,072.74/388.26
  6. Step 6: Final answer
    x = 257.75

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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.