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Finding the Fourth Proportional to 205.68, 308.52 and 114.39

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Solution

The fourth proportional to 205.68, 308.52 and 114.39 is: 171.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.68 : 308.52 = 114.39 : x
  2. Step 2: Convert to fraction form
    205.68/308.52 = 114.39/x
  3. Step 3: Cross multiply
    205.68x = 308.52 × 114.39
  4. Step 4: Simplify right side
    205.68x = 35,291.60
  5. Step 5: Solve for x
    x = 35,291.60/205.68
  6. Step 6: Final answer
    x = 171.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.