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Finding the Fourth Proportional to 219.06, 326.97 and 164.70

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Solution

The fourth proportional to 219.06, 326.97 and 164.70 is: 245.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.06 : 326.97 = 164.70 : x
  2. Step 2: Convert to fraction form
    219.06/326.97 = 164.70/x
  3. Step 3: Cross multiply
    219.06x = 326.97 × 164.70
  4. Step 4: Simplify right side
    219.06x = 53,851.96
  5. Step 5: Solve for x
    x = 53,851.96/219.06
  6. Step 6: Final answer
    x = 245.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.