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Finding the Fourth Proportional to 205.50, 308.29 and 91.50

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Solution

The fourth proportional to 205.50, 308.29 and 91.50 is: 137.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 308.29 = 91.50 : x
  2. Step 2: Convert to fraction form
    205.50/308.29 = 91.50/x
  3. Step 3: Cross multiply
    205.50x = 308.29 × 91.50
  4. Step 4: Simplify right side
    205.50x = 28,208.54
  5. Step 5: Solve for x
    x = 28,208.54/205.50
  6. Step 6: Final answer
    x = 137.27

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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.