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Finding the Fourth Proportional to 205.24, 282.84 and 131.43

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Solution

The fourth proportional to 205.24, 282.84 and 131.43 is: 181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.24 : 282.84 = 131.43 : x
  2. Step 2: Convert to fraction form
    205.24/282.84 = 131.43/x
  3. Step 3: Cross multiply
    205.24x = 282.84 × 131.43
  4. Step 4: Simplify right side
    205.24x = 37,174.17
  5. Step 5: Solve for x
    x = 37,174.17/205.24
  6. Step 6: Final answer
    x = 181.12

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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.