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Finding the Fourth Proportional to 205.32, 282.99 and 194.37

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Solution

The fourth proportional to 205.32, 282.99 and 194.37 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.32 : 282.99 = 194.37 : x
  2. Step 2: Convert to fraction form
    205.32/282.99 = 194.37/x
  3. Step 3: Cross multiply
    205.32x = 282.99 × 194.37
  4. Step 4: Simplify right side
    205.32x = 55,004.77
  5. Step 5: Solve for x
    x = 55,004.77/205.32
  6. Step 6: Final answer
    x = 267.90

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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.