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Finding the Fourth Proportional to 205.41, 283.42 and 131.84

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Solution

The fourth proportional to 205.41, 283.42 and 131.84 is: 181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.41 : 283.42 = 131.84 : x
  2. Step 2: Convert to fraction form
    205.41/283.42 = 131.84/x
  3. Step 3: Cross multiply
    205.41x = 283.42 × 131.84
  4. Step 4: Simplify right side
    205.41x = 37,364.35
  5. Step 5: Solve for x
    x = 37,364.35/205.41
  6. Step 6: Final answer
    x = 181.90

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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.