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Finding the Fourth Proportional to 254.86, 382.33 and 81.54

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Solution

The fourth proportional to 254.86, 382.33 and 81.54 is: 122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.86 : 382.33 = 81.54 : x
  2. Step 2: Convert to fraction form
    254.86/382.33 = 81.54/x
  3. Step 3: Cross multiply
    254.86x = 382.33 × 81.54
  4. Step 4: Simplify right side
    254.86x = 31,175.19
  5. Step 5: Solve for x
    x = 31,175.19/254.86
  6. Step 6: Final answer
    x = 122.32

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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.