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Finding the Fourth Proportional to 205.07, 282.99 and 131.36

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Solution

The fourth proportional to 205.07, 282.99 and 131.36 is: 181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 282.99 = 131.36 : x
  2. Step 2: Convert to fraction form
    205.07/282.99 = 131.36/x
  3. Step 3: Cross multiply
    205.07x = 282.99 × 131.36
  4. Step 4: Simplify right side
    205.07x = 37,172.64
  5. Step 5: Solve for x
    x = 37,172.64/205.07
  6. Step 6: Final answer
    x = 181.27

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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.