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Finding the Fourth Proportional to 254.44, 349.60 and 230.12

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Solution

The fourth proportional to 254.44, 349.60 and 230.12 is: 316.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 349.60 = 230.12 : x
  2. Step 2: Convert to fraction form
    254.44/349.60 = 230.12/x
  3. Step 3: Cross multiply
    254.44x = 349.60 × 230.12
  4. Step 4: Simplify right side
    254.44x = 80,449.95
  5. Step 5: Solve for x
    x = 80,449.95/254.44
  6. Step 6: Final answer
    x = 316.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.