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Finding the Fourth Proportional to 213.98, 295.09 and 182.84

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Solution

The fourth proportional to 213.98, 295.09 and 182.84 is: 252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.98 : 295.09 = 182.84 : x
  2. Step 2: Convert to fraction form
    213.98/295.09 = 182.84/x
  3. Step 3: Cross multiply
    213.98x = 295.09 × 182.84
  4. Step 4: Simplify right side
    213.98x = 53,954.26
  5. Step 5: Solve for x
    x = 53,954.26/213.98
  6. Step 6: Final answer
    x = 252.15

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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.