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Finding the Fourth Proportional to 205.59, 307 and 163.88

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Solution

The fourth proportional to 205.59, 307 and 163.88 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.59 : 307 = 163.88 : x
  2. Step 2: Convert to fraction form
    205.59/307 = 163.88/x
  3. Step 3: Cross multiply
    205.59x = 307 × 163.88
  4. Step 4: Simplify right side
    205.59x = 50,311.16
  5. Step 5: Solve for x
    x = 50,311.16/205.59
  6. Step 6: Final answer
    x = 244.72

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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.