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Finding the Fourth Proportional to 205.67, 283.68 and 189.12

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Solution

The fourth proportional to 205.67, 283.68 and 189.12 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.67 : 283.68 = 189.12 : x
  2. Step 2: Convert to fraction form
    205.67/283.68 = 189.12/x
  3. Step 3: Cross multiply
    205.67x = 283.68 × 189.12
  4. Step 4: Simplify right side
    205.67x = 53,649.56
  5. Step 5: Solve for x
    x = 53,649.56/205.67
  6. Step 6: Final answer
    x = 260.85

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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.