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Finding the Fourth Proportional to 213.82, 294.86 and 182.84

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Solution

The fourth proportional to 213.82, 294.86 and 182.84 is: 252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.82 : 294.86 = 182.84 : x
  2. Step 2: Convert to fraction form
    213.82/294.86 = 182.84/x
  3. Step 3: Cross multiply
    213.82x = 294.86 × 182.84
  4. Step 4: Simplify right side
    213.82x = 53,911.19
  5. Step 5: Solve for x
    x = 53,911.19/213.82
  6. Step 6: Final answer
    x = 252.14

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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.