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Finding the Fourth Proportional to 205.27, 282.80 and 142.99

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Solution

The fourth proportional to 205.27, 282.80 and 142.99 is: 196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.27 : 282.80 = 142.99 : x
  2. Step 2: Convert to fraction form
    205.27/282.80 = 142.99/x
  3. Step 3: Cross multiply
    205.27x = 282.80 × 142.99
  4. Step 4: Simplify right side
    205.27x = 40,437.48
  5. Step 5: Solve for x
    x = 40,437.48/205.27
  6. Step 6: Final answer
    x = 196.99

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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.