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Finding the Fourth Proportional to 209.14, 313.56 and 106.36

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Solution

The fourth proportional to 209.14, 313.56 and 106.36 is: 159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.14 : 313.56 = 106.36 : x
  2. Step 2: Convert to fraction form
    209.14/313.56 = 106.36/x
  3. Step 3: Cross multiply
    209.14x = 313.56 × 106.36
  4. Step 4: Simplify right side
    209.14x = 33,350.24
  5. Step 5: Solve for x
    x = 33,350.24/209.14
  6. Step 6: Final answer
    x = 159.46

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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.