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Finding the Fourth Proportional to 286.05, 394.75 and 161.71

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Solution

The fourth proportional to 286.05, 394.75 and 161.71 is: 223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.05 : 394.75 = 161.71 : x
  2. Step 2: Convert to fraction form
    286.05/394.75 = 161.71/x
  3. Step 3: Cross multiply
    286.05x = 394.75 × 161.71
  4. Step 4: Simplify right side
    286.05x = 63,834.96
  5. Step 5: Solve for x
    x = 63,834.96/286.05
  6. Step 6: Final answer
    x = 223.16

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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.