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Finding the Fourth Proportional to 205.23, 283.10 and 131.52

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Solution

The fourth proportional to 205.23, 283.10 and 131.52 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.23 : 283.10 = 131.52 : x
  2. Step 2: Convert to fraction form
    205.23/283.10 = 131.52/x
  3. Step 3: Cross multiply
    205.23x = 283.10 × 131.52
  4. Step 4: Simplify right side
    205.23x = 37,232.65
  5. Step 5: Solve for x
    x = 37,232.65/205.23
  6. Step 6: Final answer
    x = 181.42

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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.