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Finding the Fourth Proportional to 179.72, 269.82 and 165.80

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Solution

The fourth proportional to 179.72, 269.82 and 165.80 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.72 : 269.82 = 165.80 : x
  2. Step 2: Convert to fraction form
    179.72/269.82 = 165.80/x
  3. Step 3: Cross multiply
    179.72x = 269.82 × 165.80
  4. Step 4: Simplify right side
    179.72x = 44,736.16
  5. Step 5: Solve for x
    x = 44,736.16/179.72
  6. Step 6: Final answer
    x = 248.92

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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.