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Finding the Fourth Proportional to 205.75, 284.04 and 135.92

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Solution

The fourth proportional to 205.75, 284.04 and 135.92 is: 187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.75 : 284.04 = 135.92 : x
  2. Step 2: Convert to fraction form
    205.75/284.04 = 135.92/x
  3. Step 3: Cross multiply
    205.75x = 284.04 × 135.92
  4. Step 4: Simplify right side
    205.75x = 38,606.72
  5. Step 5: Solve for x
    x = 38,606.72/205.75
  6. Step 6: Final answer
    x = 187.64

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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.