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Finding the Fourth Proportional to 209.69, 314.82 and 132.42

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Solution

The fourth proportional to 209.69, 314.82 and 132.42 is: 198.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.69 : 314.82 = 132.42 : x
  2. Step 2: Convert to fraction form
    209.69/314.82 = 132.42/x
  3. Step 3: Cross multiply
    209.69x = 314.82 × 132.42
  4. Step 4: Simplify right side
    209.69x = 41,688.46
  5. Step 5: Solve for x
    x = 41,688.46/209.69
  6. Step 6: Final answer
    x = 198.81

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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.