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Finding the Fourth Proportional to 179.20, 248.38 and 175.96

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Solution

The fourth proportional to 179.20, 248.38 and 175.96 is: 243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 248.38 = 175.96 : x
  2. Step 2: Convert to fraction form
    179.20/248.38 = 175.96/x
  3. Step 3: Cross multiply
    179.20x = 248.38 × 175.96
  4. Step 4: Simplify right side
    179.20x = 43,704.94
  5. Step 5: Solve for x
    x = 43,704.94/179.20
  6. Step 6: Final answer
    x = 243.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.