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Finding the Fourth Proportional to 205.03, 282.49 and 142.69

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Solution

The fourth proportional to 205.03, 282.49 and 142.69 is: 196.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.03 : 282.49 = 142.69 : x
  2. Step 2: Convert to fraction form
    205.03/282.49 = 142.69/x
  3. Step 3: Cross multiply
    205.03x = 282.49 × 142.69
  4. Step 4: Simplify right side
    205.03x = 40,307.17
  5. Step 5: Solve for x
    x = 40,307.17/205.03
  6. Step 6: Final answer
    x = 196.59

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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.