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Finding the Fourth Proportional to 205.57, 308.31 and 118.72

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Solution

The fourth proportional to 205.57, 308.31 and 118.72 is: 178.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.57 : 308.31 = 118.72 : x
  2. Step 2: Convert to fraction form
    205.57/308.31 = 118.72/x
  3. Step 3: Cross multiply
    205.57x = 308.31 × 118.72
  4. Step 4: Simplify right side
    205.57x = 36,602.56
  5. Step 5: Solve for x
    x = 36,602.56/205.57
  6. Step 6: Final answer
    x = 178.05

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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.