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Finding the Fourth Proportional to 205.07, 306.86 and 173.00

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Solution

The fourth proportional to 205.07, 306.86 and 173.00 is: 258.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.07 : 306.86 = 173.00 : x
  2. Step 2: Convert to fraction form
    205.07/306.86 = 173.00/x
  3. Step 3: Cross multiply
    205.07x = 306.86 × 173.00
  4. Step 4: Simplify right side
    205.07x = 53,086.68
  5. Step 5: Solve for x
    x = 53,086.68/205.07
  6. Step 6: Final answer
    x = 258.88

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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.