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Finding the Fourth Proportional to 179.94, 248.18 and 120.91

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Solution

The fourth proportional to 179.94, 248.18 and 120.91 is: 166.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.94 : 248.18 = 120.91 : x
  2. Step 2: Convert to fraction form
    179.94/248.18 = 120.91/x
  3. Step 3: Cross multiply
    179.94x = 248.18 × 120.91
  4. Step 4: Simplify right side
    179.94x = 30,007.14
  5. Step 5: Solve for x
    x = 30,007.14/179.94
  6. Step 6: Final answer
    x = 166.76

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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.