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Finding the Fourth Proportional to 208.71, 311.85 and 164.97

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Solution

The fourth proportional to 208.71, 311.85 and 164.97 is: 246.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.71 : 311.85 = 164.97 : x
  2. Step 2: Convert to fraction form
    208.71/311.85 = 164.97/x
  3. Step 3: Cross multiply
    208.71x = 311.85 × 164.97
  4. Step 4: Simplify right side
    208.71x = 51,445.89
  5. Step 5: Solve for x
    x = 51,445.89/208.71
  6. Step 6: Final answer
    x = 246.49

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Why These Related Problems?

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