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Finding the Fourth Proportional to 205.21, 308.86 and 154.11

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Solution

The fourth proportional to 205.21, 308.86 and 154.11 is: 231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.21 : 308.86 = 154.11 : x
  2. Step 2: Convert to fraction form
    205.21/308.86 = 154.11/x
  3. Step 3: Cross multiply
    205.21x = 308.86 × 154.11
  4. Step 4: Simplify right side
    205.21x = 47,598.41
  5. Step 5: Solve for x
    x = 47,598.41/205.21
  6. Step 6: Final answer
    x = 231.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.