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Finding the Fourth Proportional to 205.49, 308.16 and 75.45

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Solution

The fourth proportional to 205.49, 308.16 and 75.45 is: 113.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.49 : 308.16 = 75.45 : x
  2. Step 2: Convert to fraction form
    205.49/308.16 = 75.45/x
  3. Step 3: Cross multiply
    205.49x = 308.16 × 75.45
  4. Step 4: Simplify right side
    205.49x = 23,250.95
  5. Step 5: Solve for x
    x = 23,250.95/205.49
  6. Step 6: Final answer
    x = 113.15

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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.