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Finding the Fourth Proportional to 254.44, 351.46 and 230.12

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Solution

The fourth proportional to 254.44, 351.46 and 230.12 is: 317.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 351.46 = 230.12 : x
  2. Step 2: Convert to fraction form
    254.44/351.46 = 230.12/x
  3. Step 3: Cross multiply
    254.44x = 351.46 × 230.12
  4. Step 4: Simplify right side
    254.44x = 80,877.98
  5. Step 5: Solve for x
    x = 80,877.98/254.44
  6. Step 6: Final answer
    x = 317.87

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Why These Related Problems?

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