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Finding the Fourth Proportional to 205.94, 308.91 and 113.45

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Solution

The fourth proportional to 205.94, 308.91 and 113.45 is: 170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.94 : 308.91 = 113.45 : x
  2. Step 2: Convert to fraction form
    205.94/308.91 = 113.45/x
  3. Step 3: Cross multiply
    205.94x = 308.91 × 113.45
  4. Step 4: Simplify right side
    205.94x = 35,046.46
  5. Step 5: Solve for x
    x = 35,046.46/205.94
  6. Step 6: Final answer
    x = 170.18

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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.