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Finding the Fourth Proportional to 205.98, 308.52 and 132.72

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Solution

The fourth proportional to 205.98, 308.52 and 132.72 is: 198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.98 : 308.52 = 132.72 : x
  2. Step 2: Convert to fraction form
    205.98/308.52 = 132.72/x
  3. Step 3: Cross multiply
    205.98x = 308.52 × 132.72
  4. Step 4: Simplify right side
    205.98x = 40,946.77
  5. Step 5: Solve for x
    x = 40,946.77/205.98
  6. Step 6: Final answer
    x = 198.79

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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.