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Finding the Fourth Proportional to 205.68, 283.83 and 112.43

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Solution

The fourth proportional to 205.68, 283.83 and 112.43 is: 155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 283.83 = 112.43 : x
  2. Step 2: Convert to fraction form
    205.68/283.83 = 112.43/x
  3. Step 3: Cross multiply
    205.68x = 283.83 × 112.43
  4. Step 4: Simplify right side
    205.68x = 31,909.59
  5. Step 5: Solve for x
    x = 31,909.59/205.68
  6. Step 6: Final answer
    x = 155.14

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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.