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Finding the Fourth Proportional to 167.66, 252.86 and 165.84

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Solution

The fourth proportional to 167.66, 252.86 and 165.84 is: 250.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.66 : 252.86 = 165.84 : x
  2. Step 2: Convert to fraction form
    167.66/252.86 = 165.84/x
  3. Step 3: Cross multiply
    167.66x = 252.86 × 165.84
  4. Step 4: Simplify right side
    167.66x = 41,934.30
  5. Step 5: Solve for x
    x = 41,934.30/167.66
  6. Step 6: Final answer
    x = 250.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.