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Finding the Fourth Proportional to 388.16, 582.26 and 171.60

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Solution

The fourth proportional to 388.16, 582.26 and 171.60 is: 257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.16 : 582.26 = 171.60 : x
  2. Step 2: Convert to fraction form
    388.16/582.26 = 171.60/x
  3. Step 3: Cross multiply
    388.16x = 582.26 × 171.60
  4. Step 4: Simplify right side
    388.16x = 99,915.82
  5. Step 5: Solve for x
    x = 99,915.82/388.16
  6. Step 6: Final answer
    x = 257.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.