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Finding the Fourth Proportional to 205.83, 284.09 and 135.77

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Solution

The fourth proportional to 205.83, 284.09 and 135.77 is: 187.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 284.09 = 135.77 : x
  2. Step 2: Convert to fraction form
    205.83/284.09 = 135.77/x
  3. Step 3: Cross multiply
    205.83x = 284.09 × 135.77
  4. Step 4: Simplify right side
    205.83x = 38,568.80
  5. Step 5: Solve for x
    x = 38,568.80/205.83
  6. Step 6: Final answer
    x = 187.38

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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.