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Finding the Fourth Proportional to 286.48, 395.34 and 155.49

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Solution

The fourth proportional to 286.48, 395.34 and 155.49 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.48 : 395.34 = 155.49 : x
  2. Step 2: Convert to fraction form
    286.48/395.34 = 155.49/x
  3. Step 3: Cross multiply
    286.48x = 395.34 × 155.49
  4. Step 4: Simplify right side
    286.48x = 61,469.79
  5. Step 5: Solve for x
    x = 61,469.79/286.48
  6. Step 6: Final answer
    x = 214.57

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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.