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Finding the Fourth Proportional to 177.72, 245.20 and 119.44

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Solution

The fourth proportional to 177.72, 245.20 and 119.44 is: 164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.72 : 245.20 = 119.44 : x
  2. Step 2: Convert to fraction form
    177.72/245.20 = 119.44/x
  3. Step 3: Cross multiply
    177.72x = 245.20 × 119.44
  4. Step 4: Simplify right side
    177.72x = 29,286.69
  5. Step 5: Solve for x
    x = 29,286.69/177.72
  6. Step 6: Final answer
    x = 164.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.