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Finding the Fourth Proportional to 179.14, 247.14 and 116.95

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Solution

The fourth proportional to 179.14, 247.14 and 116.95 is: 161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.14 : 247.14 = 116.95 : x
  2. Step 2: Convert to fraction form
    179.14/247.14 = 116.95/x
  3. Step 3: Cross multiply
    179.14x = 247.14 × 116.95
  4. Step 4: Simplify right side
    179.14x = 28,902.41
  5. Step 5: Solve for x
    x = 28,902.41/179.14
  6. Step 6: Final answer
    x = 161.34

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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.