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Finding the Fourth Proportional to 179.44, 247.46 and 117.20

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Solution

The fourth proportional to 179.44, 247.46 and 117.20 is: 161.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.44 : 247.46 = 117.20 : x
  2. Step 2: Convert to fraction form
    179.44/247.46 = 117.20/x
  3. Step 3: Cross multiply
    179.44x = 247.46 × 117.20
  4. Step 4: Simplify right side
    179.44x = 29,002.34
  5. Step 5: Solve for x
    x = 29,002.34/179.44
  6. Step 6: Final answer
    x = 161.63

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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.