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Finding the Fourth Proportional to 388.36, 582.56 and 131.88

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Solution

The fourth proportional to 388.36, 582.56 and 131.88 is: 197.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.36 : 582.56 = 131.88 : x
  2. Step 2: Convert to fraction form
    388.36/582.56 = 131.88/x
  3. Step 3: Cross multiply
    388.36x = 582.56 × 131.88
  4. Step 4: Simplify right side
    388.36x = 76,828.01
  5. Step 5: Solve for x
    x = 76,828.01/388.36
  6. Step 6: Final answer
    x = 197.83

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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.