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Finding the Fourth Proportional to 213.97, 295.34 and 135.33

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Solution

The fourth proportional to 213.97, 295.34 and 135.33 is: 186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.97 : 295.34 = 135.33 : x
  2. Step 2: Convert to fraction form
    213.97/295.34 = 135.33/x
  3. Step 3: Cross multiply
    213.97x = 295.34 × 135.33
  4. Step 4: Simplify right side
    213.97x = 39,968.36
  5. Step 5: Solve for x
    x = 39,968.36/213.97
  6. Step 6: Final answer
    x = 186.79

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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.