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Finding the Fourth Proportional to 254.13, 350.75 and 166.80

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Solution

The fourth proportional to 254.13, 350.75 and 166.80 is: 230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.13 : 350.75 = 166.80 : x
  2. Step 2: Convert to fraction form
    254.13/350.75 = 166.80/x
  3. Step 3: Cross multiply
    254.13x = 350.75 × 166.80
  4. Step 4: Simplify right side
    254.13x = 58,504.27
  5. Step 5: Solve for x
    x = 58,504.27/254.13
  6. Step 6: Final answer
    x = 230.21

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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.