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Finding the Fourth Proportional to 205.27, 283.10 and 131.42

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Solution

The fourth proportional to 205.27, 283.10 and 131.42 is: 181.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.27 : 283.10 = 131.42 : x
  2. Step 2: Convert to fraction form
    205.27/283.10 = 131.42/x
  3. Step 3: Cross multiply
    205.27x = 283.10 × 131.42
  4. Step 4: Simplify right side
    205.27x = 37,205.05
  5. Step 5: Solve for x
    x = 37,205.05/205.27
  6. Step 6: Final answer
    x = 181.25

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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.