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Finding the Fourth Proportional to 179.38, 246.53 and 161.16

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Solution

The fourth proportional to 179.38, 246.53 and 161.16 is: 221.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.38 : 246.53 = 161.16 : x
  2. Step 2: Convert to fraction form
    179.38/246.53 = 161.16/x
  3. Step 3: Cross multiply
    179.38x = 246.53 × 161.16
  4. Step 4: Simplify right side
    179.38x = 39,729.35
  5. Step 5: Solve for x
    x = 39,729.35/179.38
  6. Step 6: Final answer
    x = 221.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.