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Finding the Fourth Proportional to 205.20, 308.34 and 114.03

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Solution

The fourth proportional to 205.20, 308.34 and 114.03 is: 171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.20 : 308.34 = 114.03 : x
  2. Step 2: Convert to fraction form
    205.20/308.34 = 114.03/x
  3. Step 3: Cross multiply
    205.20x = 308.34 × 114.03
  4. Step 4: Simplify right side
    205.20x = 35,160.01
  5. Step 5: Solve for x
    x = 35,160.01/205.20
  6. Step 6: Final answer
    x = 171.35

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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.