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Finding the Fourth Proportional to 209.63, 313.86 and 158.11

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Solution

The fourth proportional to 209.63, 313.86 and 158.11 is: 236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.63 : 313.86 = 158.11 : x
  2. Step 2: Convert to fraction form
    209.63/313.86 = 158.11/x
  3. Step 3: Cross multiply
    209.63x = 313.86 × 158.11
  4. Step 4: Simplify right side
    209.63x = 49,624.40
  5. Step 5: Solve for x
    x = 49,624.40/209.63
  6. Step 6: Final answer
    x = 236.73

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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.