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Finding the Fourth Proportional to 179.69, 248.22 and 144.68

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Solution

The fourth proportional to 179.69, 248.22 and 144.68 is: 199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.69 : 248.22 = 144.68 : x
  2. Step 2: Convert to fraction form
    179.69/248.22 = 144.68/x
  3. Step 3: Cross multiply
    179.69x = 248.22 × 144.68
  4. Step 4: Simplify right side
    179.69x = 35,911.23
  5. Step 5: Solve for x
    x = 35,911.23/179.69
  6. Step 6: Final answer
    x = 199.86

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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.