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Finding the Fourth Proportional to 254.90, 382.34 and 108.61

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Solution

The fourth proportional to 254.90, 382.34 and 108.61 is: 162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.90 : 382.34 = 108.61 : x
  2. Step 2: Convert to fraction form
    254.90/382.34 = 108.61/x
  3. Step 3: Cross multiply
    254.90x = 382.34 × 108.61
  4. Step 4: Simplify right side
    254.90x = 41,525.26
  5. Step 5: Solve for x
    x = 41,525.26/254.90
  6. Step 6: Final answer
    x = 162.91

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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.