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Finding the Fourth Proportional to 286.95, 395.96 and 162.61

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Solution

The fourth proportional to 286.95, 395.96 and 162.61 is: 224.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.95 : 395.96 = 162.61 : x
  2. Step 2: Convert to fraction form
    286.95/395.96 = 162.61/x
  3. Step 3: Cross multiply
    286.95x = 395.96 × 162.61
  4. Step 4: Simplify right side
    286.95x = 64,387.46
  5. Step 5: Solve for x
    x = 64,387.46/286.95
  6. Step 6: Final answer
    x = 224.38

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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.