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Finding the Fourth Proportional to 166.63, 249.85 and 118.44

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Solution

The fourth proportional to 166.63, 249.85 and 118.44 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.63 : 249.85 = 118.44 : x
  2. Step 2: Convert to fraction form
    166.63/249.85 = 118.44/x
  3. Step 3: Cross multiply
    166.63x = 249.85 × 118.44
  4. Step 4: Simplify right side
    166.63x = 29,592.23
  5. Step 5: Solve for x
    x = 29,592.23/166.63
  6. Step 6: Final answer
    x = 177.59

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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.