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Finding the Fourth Proportional to 205.13, 282.99 and 142.86

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Solution

The fourth proportional to 205.13, 282.99 and 142.86 is: 197.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.13 : 282.99 = 142.86 : x
  2. Step 2: Convert to fraction form
    205.13/282.99 = 142.86/x
  3. Step 3: Cross multiply
    205.13x = 282.99 × 142.86
  4. Step 4: Simplify right side
    205.13x = 40,429.55
  5. Step 5: Solve for x
    x = 40,429.55/205.13
  6. Step 6: Final answer
    x = 197.09

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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.