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Finding the Fourth Proportional to 209.73, 314.60 and 164.12

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Solution

The fourth proportional to 209.73, 314.60 and 164.12 is: 246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.73 : 314.60 = 164.12 : x
  2. Step 2: Convert to fraction form
    209.73/314.60 = 164.12/x
  3. Step 3: Cross multiply
    209.73x = 314.60 × 164.12
  4. Step 4: Simplify right side
    209.73x = 51,631.33
  5. Step 5: Solve for x
    x = 51,631.33/209.73
  6. Step 6: Final answer
    x = 246.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.