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Finding the Fourth Proportional to 205.99, 284.17 and 135.96

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Solution

The fourth proportional to 205.99, 284.17 and 135.96 is: 187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.99 : 284.17 = 135.96 : x
  2. Step 2: Convert to fraction form
    205.99/284.17 = 135.96/x
  3. Step 3: Cross multiply
    205.99x = 284.17 × 135.96
  4. Step 4: Simplify right side
    205.99x = 38,635.75
  5. Step 5: Solve for x
    x = 38,635.75/205.99
  6. Step 6: Final answer
    x = 187.56

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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.