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Finding the Fourth Proportional to 205.38, 308.14 and 136.71

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Solution

The fourth proportional to 205.38, 308.14 and 136.71 is: 205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.38 : 308.14 = 136.71 : x
  2. Step 2: Convert to fraction form
    205.38/308.14 = 136.71/x
  3. Step 3: Cross multiply
    205.38x = 308.14 × 136.71
  4. Step 4: Simplify right side
    205.38x = 42,125.48
  5. Step 5: Solve for x
    x = 42,125.48/205.38
  6. Step 6: Final answer
    x = 205.11

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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.