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Finding the Fourth Proportional to 255.35, 382.56 and 163.86

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Solution

The fourth proportional to 255.35, 382.56 and 163.86 is: 245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.35 : 382.56 = 163.86 : x
  2. Step 2: Convert to fraction form
    255.35/382.56 = 163.86/x
  3. Step 3: Cross multiply
    255.35x = 382.56 × 163.86
  4. Step 4: Simplify right side
    255.35x = 62,684.23
  5. Step 5: Solve for x
    x = 62,684.23/255.35
  6. Step 6: Final answer
    x = 245.48

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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.