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Finding the Fourth Proportional to 209.32, 313.92 and 72.34

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Solution

The fourth proportional to 209.32, 313.92 and 72.34 is: 108.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.32 : 313.92 = 72.34 : x
  2. Step 2: Convert to fraction form
    209.32/313.92 = 72.34/x
  3. Step 3: Cross multiply
    209.32x = 313.92 × 72.34
  4. Step 4: Simplify right side
    209.32x = 22,708.97
  5. Step 5: Solve for x
    x = 22,708.97/209.32
  6. Step 6: Final answer
    x = 108.49

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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.