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Finding the Fourth Proportional to 205.88, 308.42 and 173.36

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Solution

The fourth proportional to 205.88, 308.42 and 173.36 is: 259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 308.42 = 173.36 : x
  2. Step 2: Convert to fraction form
    205.88/308.42 = 173.36/x
  3. Step 3: Cross multiply
    205.88x = 308.42 × 173.36
  4. Step 4: Simplify right side
    205.88x = 53,467.69
  5. Step 5: Solve for x
    x = 53,467.69/205.88
  6. Step 6: Final answer
    x = 259.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.