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Finding the Fourth Proportional to 166.08, 250.44 and 158.88

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Solution

The fourth proportional to 166.08, 250.44 and 158.88 is: 239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 250.44 = 158.88 : x
  2. Step 2: Convert to fraction form
    166.08/250.44 = 158.88/x
  3. Step 3: Cross multiply
    166.08x = 250.44 × 158.88
  4. Step 4: Simplify right side
    166.08x = 39,789.91
  5. Step 5: Solve for x
    x = 39,789.91/166.08
  6. Step 6: Final answer
    x = 239.58

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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.