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Finding the Fourth Proportional to 213.82, 295.13 and 135.18

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Solution

The fourth proportional to 213.82, 295.13 and 135.18 is: 186.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 295.13 = 135.18 : x
  2. Step 2: Convert to fraction form
    213.82/295.13 = 135.18/x
  3. Step 3: Cross multiply
    213.82x = 295.13 × 135.18
  4. Step 4: Simplify right side
    213.82x = 39,896.01
  5. Step 5: Solve for x
    x = 39,896.01/213.82
  6. Step 6: Final answer
    x = 186.59

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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.