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Finding the Fourth Proportional to 205.10, 282.93 and 142.82

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Solution

The fourth proportional to 205.10, 282.93 and 142.82 is: 197.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.10 : 282.93 = 142.82 : x
  2. Step 2: Convert to fraction form
    205.10/282.93 = 142.82/x
  3. Step 3: Cross multiply
    205.10x = 282.93 × 142.82
  4. Step 4: Simplify right side
    205.10x = 40,408.06
  5. Step 5: Solve for x
    x = 40,408.06/205.10
  6. Step 6: Final answer
    x = 197.02

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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.