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Finding the Fourth Proportional to 209.20, 313.24 and 165.84

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Solution

The fourth proportional to 209.20, 313.24 and 165.84 is: 248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.20 : 313.24 = 165.84 : x
  2. Step 2: Convert to fraction form
    209.20/313.24 = 165.84/x
  3. Step 3: Cross multiply
    209.20x = 313.24 × 165.84
  4. Step 4: Simplify right side
    209.20x = 51,947.72
  5. Step 5: Solve for x
    x = 51,947.72/209.20
  6. Step 6: Final answer
    x = 248.32

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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.