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Finding the Fourth Proportional to 167.61, 249.84 and 165.09

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Solution

The fourth proportional to 167.61, 249.84 and 165.09 is: 246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.61 : 249.84 = 165.09 : x
  2. Step 2: Convert to fraction form
    167.61/249.84 = 165.09/x
  3. Step 3: Cross multiply
    167.61x = 249.84 × 165.09
  4. Step 4: Simplify right side
    167.61x = 41,246.09
  5. Step 5: Solve for x
    x = 41,246.09/167.61
  6. Step 6: Final answer
    x = 246.08

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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.