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Finding the Fourth Proportional to 205.48, 308.34 and 112.94

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Solution

The fourth proportional to 205.48, 308.34 and 112.94 is: 169.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.48 : 308.34 = 112.94 : x
  2. Step 2: Convert to fraction form
    205.48/308.34 = 112.94/x
  3. Step 3: Cross multiply
    205.48x = 308.34 × 112.94
  4. Step 4: Simplify right side
    205.48x = 34,823.92
  5. Step 5: Solve for x
    x = 34,823.92/205.48
  6. Step 6: Final answer
    x = 169.48

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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.