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Finding the Fourth Proportional to 254.11, 350.77 and 218.52

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Solution

The fourth proportional to 254.11, 350.77 and 218.52 is: 301.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.11 : 350.77 = 218.52 : x
  2. Step 2: Convert to fraction form
    254.11/350.77 = 218.52/x
  3. Step 3: Cross multiply
    254.11x = 350.77 × 218.52
  4. Step 4: Simplify right side
    254.11x = 76,648.40
  5. Step 5: Solve for x
    x = 76,648.40/254.11
  6. Step 6: Final answer
    x = 301.64

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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.