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Finding the Fourth Proportional to 254.53, 382.20 and 173.33

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Solution

The fourth proportional to 254.53, 382.20 and 173.33 is: 260.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 382.20 = 173.33 : x
  2. Step 2: Convert to fraction form
    254.53/382.20 = 173.33/x
  3. Step 3: Cross multiply
    254.53x = 382.20 × 173.33
  4. Step 4: Simplify right side
    254.53x = 66,246.73
  5. Step 5: Solve for x
    x = 66,246.73/254.53
  6. Step 6: Final answer
    x = 260.27

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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.