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Finding the Fourth Proportional to 208.96, 312.93 and 122.02

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Solution

The fourth proportional to 208.96, 312.93 and 122.02 is: 182.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.96 : 312.93 = 122.02 : x
  2. Step 2: Convert to fraction form
    208.96/312.93 = 122.02/x
  3. Step 3: Cross multiply
    208.96x = 312.93 × 122.02
  4. Step 4: Simplify right side
    208.96x = 38,183.72
  5. Step 5: Solve for x
    x = 38,183.72/208.96
  6. Step 6: Final answer
    x = 182.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.