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Finding the Fourth Proportional to 209.14, 313.07 and 154.90

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Solution

The fourth proportional to 209.14, 313.07 and 154.90 is: 231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.14 : 313.07 = 154.90 : x
  2. Step 2: Convert to fraction form
    209.14/313.07 = 154.90/x
  3. Step 3: Cross multiply
    209.14x = 313.07 × 154.90
  4. Step 4: Simplify right side
    209.14x = 48,494.54
  5. Step 5: Solve for x
    x = 48,494.54/209.14
  6. Step 6: Final answer
    x = 231.88

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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.