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Finding the Fourth Proportional to 179.20, 248.60 and 164.80

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Solution

The fourth proportional to 179.20, 248.60 and 164.80 is: 228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.20 : 248.60 = 164.80 : x
  2. Step 2: Convert to fraction form
    179.20/248.60 = 164.80/x
  3. Step 3: Cross multiply
    179.20x = 248.60 × 164.80
  4. Step 4: Simplify right side
    179.20x = 40,969.28
  5. Step 5: Solve for x
    x = 40,969.28/179.20
  6. Step 6: Final answer
    x = 228.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.