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Finding the Fourth Proportional to 205.29, 283.01 and 131.55

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Solution

The fourth proportional to 205.29, 283.01 and 131.55 is: 181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.29 : 283.01 = 131.55 : x
  2. Step 2: Convert to fraction form
    205.29/283.01 = 131.55/x
  3. Step 3: Cross multiply
    205.29x = 283.01 × 131.55
  4. Step 4: Simplify right side
    205.29x = 37,229.31
  5. Step 5: Solve for x
    x = 37,229.31/205.29
  6. Step 6: Final answer
    x = 181.35

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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.