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Finding the Fourth Proportional to 206.93, 285.44 and 182.43

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Solution

The fourth proportional to 206.93, 285.44 and 182.43 is: 251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 285.44 = 182.43 : x
  2. Step 2: Convert to fraction form
    206.93/285.44 = 182.43/x
  3. Step 3: Cross multiply
    206.93x = 285.44 × 182.43
  4. Step 4: Simplify right side
    206.93x = 52,072.82
  5. Step 5: Solve for x
    x = 52,072.82/206.93
  6. Step 6: Final answer
    x = 251.64

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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.