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Finding the Fourth Proportional to 205.09, 282.51 and 142.81

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Solution

The fourth proportional to 205.09, 282.51 and 142.81 is: 196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.09 : 282.51 = 142.81 : x
  2. Step 2: Convert to fraction form
    205.09/282.51 = 142.81/x
  3. Step 3: Cross multiply
    205.09x = 282.51 × 142.81
  4. Step 4: Simplify right side
    205.09x = 40,344.55
  5. Step 5: Solve for x
    x = 40,344.55/205.09
  6. Step 6: Final answer
    x = 196.72

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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.