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Finding the Fourth Proportional to 205.30, 283.22 and 131.59

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Solution

The fourth proportional to 205.30, 283.22 and 131.59 is: 181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.30 : 283.22 = 131.59 : x
  2. Step 2: Convert to fraction form
    205.30/283.22 = 131.59/x
  3. Step 3: Cross multiply
    205.30x = 283.22 × 131.59
  4. Step 4: Simplify right side
    205.30x = 37,268.92
  5. Step 5: Solve for x
    x = 37,268.92/205.30
  6. Step 6: Final answer
    x = 181.53

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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.