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Finding the Fourth Proportional to 179.82, 270.74 and 139.46

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Solution

The fourth proportional to 179.82, 270.74 and 139.46 is: 209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.82 : 270.74 = 139.46 : x
  2. Step 2: Convert to fraction form
    179.82/270.74 = 139.46/x
  3. Step 3: Cross multiply
    179.82x = 270.74 × 139.46
  4. Step 4: Simplify right side
    179.82x = 37,756.40
  5. Step 5: Solve for x
    x = 37,756.40/179.82
  6. Step 6: Final answer
    x = 209.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.