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Finding the Fourth Proportional to 209.14, 313.54 and 106.27

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Solution

The fourth proportional to 209.14, 313.54 and 106.27 is: 159.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.14 : 313.54 = 106.27 : x
  2. Step 2: Convert to fraction form
    209.14/313.54 = 106.27/x
  3. Step 3: Cross multiply
    209.14x = 313.54 × 106.27
  4. Step 4: Simplify right side
    209.14x = 33,318.85
  5. Step 5: Solve for x
    x = 33,318.85/209.14
  6. Step 6: Final answer
    x = 159.32

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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.