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Finding the Fourth Proportional to 205.53, 282.99 and 181.55

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Solution

The fourth proportional to 205.53, 282.99 and 181.55 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.53 : 282.99 = 181.55 : x
  2. Step 2: Convert to fraction form
    205.53/282.99 = 181.55/x
  3. Step 3: Cross multiply
    205.53x = 282.99 × 181.55
  4. Step 4: Simplify right side
    205.53x = 51,376.83
  5. Step 5: Solve for x
    x = 51,376.83/205.53
  6. Step 6: Final answer
    x = 249.97

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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.