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Finding the Fourth Proportional to 205.54, 308.23 and 114.28

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Solution

The fourth proportional to 205.54, 308.23 and 114.28 is: 171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.54 : 308.23 = 114.28 : x
  2. Step 2: Convert to fraction form
    205.54/308.23 = 114.28/x
  3. Step 3: Cross multiply
    205.54x = 308.23 × 114.28
  4. Step 4: Simplify right side
    205.54x = 35,224.52
  5. Step 5: Solve for x
    x = 35,224.52/205.54
  6. Step 6: Final answer
    x = 171.38

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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.