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Finding the Fourth Proportional to 213.91, 295.22 and 135.23

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Solution

The fourth proportional to 213.91, 295.22 and 135.23 is: 186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.91 : 295.22 = 135.23 : x
  2. Step 2: Convert to fraction form
    213.91/295.22 = 135.23/x
  3. Step 3: Cross multiply
    213.91x = 295.22 × 135.23
  4. Step 4: Simplify right side
    213.91x = 39,921.46
  5. Step 5: Solve for x
    x = 39,921.46/213.91
  6. Step 6: Final answer
    x = 186.63

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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.