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Finding the Fourth Proportional to 286.16, 395.14 and 245.12

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Solution

The fourth proportional to 286.16, 395.14 and 245.12 is: 338.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.16 : 395.14 = 245.12 : x
  2. Step 2: Convert to fraction form
    286.16/395.14 = 245.12/x
  3. Step 3: Cross multiply
    286.16x = 395.14 × 245.12
  4. Step 4: Simplify right side
    286.16x = 96,856.72
  5. Step 5: Solve for x
    x = 96,856.72/286.16
  6. Step 6: Final answer
    x = 338.47

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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.