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Finding the Fourth Proportional to 209.68, 314.34 and 81.46

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Solution

The fourth proportional to 209.68, 314.34 and 81.46 is: 122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 314.34 = 81.46 : x
  2. Step 2: Convert to fraction form
    209.68/314.34 = 81.46/x
  3. Step 3: Cross multiply
    209.68x = 314.34 × 81.46
  4. Step 4: Simplify right side
    209.68x = 25,606.14
  5. Step 5: Solve for x
    x = 25,606.14/209.68
  6. Step 6: Final answer
    x = 122.12

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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.