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Finding the Fourth Proportional to 206.58, 308.75 and 163.38

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Solution

The fourth proportional to 206.58, 308.75 and 163.38 is: 244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.58 : 308.75 = 163.38 : x
  2. Step 2: Convert to fraction form
    206.58/308.75 = 163.38/x
  3. Step 3: Cross multiply
    206.58x = 308.75 × 163.38
  4. Step 4: Simplify right side
    206.58x = 50,442.76
  5. Step 5: Solve for x
    x = 50,442.76/206.58
  6. Step 6: Final answer
    x = 244.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.