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Finding the Fourth Proportional to 205.32, 283.38 and 199.80

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Solution

The fourth proportional to 205.32, 283.38 and 199.80 is: 275.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 283.38 = 199.80 : x
  2. Step 2: Convert to fraction form
    205.32/283.38 = 199.80/x
  3. Step 3: Cross multiply
    205.32x = 283.38 × 199.80
  4. Step 4: Simplify right side
    205.32x = 56,619.32
  5. Step 5: Solve for x
    x = 56,619.32/205.32
  6. Step 6: Final answer
    x = 275.76

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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.