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Finding the Fourth Proportional to 205.75, 284.34 and 183.88

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Solution

The fourth proportional to 205.75, 284.34 and 183.88 is: 254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 284.34 = 183.88 : x
  2. Step 2: Convert to fraction form
    205.75/284.34 = 183.88/x
  3. Step 3: Cross multiply
    205.75x = 284.34 × 183.88
  4. Step 4: Simplify right side
    205.75x = 52,284.44
  5. Step 5: Solve for x
    x = 52,284.44/205.75
  6. Step 6: Final answer
    x = 254.12

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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.