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Finding the Fourth Proportional to 179.05, 247.01 and 116.86

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Solution

The fourth proportional to 179.05, 247.01 and 116.86 is: 161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.05 : 247.01 = 116.86 : x
  2. Step 2: Convert to fraction form
    179.05/247.01 = 116.86/x
  3. Step 3: Cross multiply
    179.05x = 247.01 × 116.86
  4. Step 4: Simplify right side
    179.05x = 28,865.59
  5. Step 5: Solve for x
    x = 28,865.59/179.05
  6. Step 6: Final answer
    x = 161.22

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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.