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Finding the Fourth Proportional to 204.75, 282.83 and 142.65

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Solution

The fourth proportional to 204.75, 282.83 and 142.65 is: 197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.75 : 282.83 = 142.65 : x
  2. Step 2: Convert to fraction form
    204.75/282.83 = 142.65/x
  3. Step 3: Cross multiply
    204.75x = 282.83 × 142.65
  4. Step 4: Simplify right side
    204.75x = 40,344.99
  5. Step 5: Solve for x
    x = 40,344.99/204.75
  6. Step 6: Final answer
    x = 197.05

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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.