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Finding the Fourth Proportional to 205.43, 283.57 and 131.85

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Solution

The fourth proportional to 205.43, 283.57 and 131.85 is: 182.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.43 : 283.57 = 131.85 : x
  2. Step 2: Convert to fraction form
    205.43/283.57 = 131.85/x
  3. Step 3: Cross multiply
    205.43x = 283.57 × 131.85
  4. Step 4: Simplify right side
    205.43x = 37,388.37
  5. Step 5: Solve for x
    x = 37,388.37/205.43
  6. Step 6: Final answer
    x = 182.00

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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.