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Finding the Fourth Proportional to 255.96, 382.32 and 254.61

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Solution

The fourth proportional to 255.96, 382.32 and 254.61 is: 380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.96 : 382.32 = 254.61 : x
  2. Step 2: Convert to fraction form
    255.96/382.32 = 254.61/x
  3. Step 3: Cross multiply
    255.96x = 382.32 × 254.61
  4. Step 4: Simplify right side
    255.96x = 97,342.50
  5. Step 5: Solve for x
    x = 97,342.50/255.96
  6. Step 6: Final answer
    x = 380.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.