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Finding the Fourth Proportional to 254.97, 351.68 and 161.55

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Solution

The fourth proportional to 254.97, 351.68 and 161.55 is: 222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.97 : 351.68 = 161.55 : x
  2. Step 2: Convert to fraction form
    254.97/351.68 = 161.55/x
  3. Step 3: Cross multiply
    254.97x = 351.68 × 161.55
  4. Step 4: Simplify right side
    254.97x = 56,813.10
  5. Step 5: Solve for x
    x = 56,813.10/254.97
  6. Step 6: Final answer
    x = 222.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.