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Finding the Fourth Proportional to 205.68, 308.42 and 75.59

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Solution

The fourth proportional to 205.68, 308.42 and 75.59 is: 113.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 308.42 = 75.59 : x
  2. Step 2: Convert to fraction form
    205.68/308.42 = 75.59/x
  3. Step 3: Cross multiply
    205.68x = 308.42 × 75.59
  4. Step 4: Simplify right side
    205.68x = 23,313.47
  5. Step 5: Solve for x
    x = 23,313.47/205.68
  6. Step 6: Final answer
    x = 113.35

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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.