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Finding the Fourth Proportional to 209.21, 313.84 and 106.45

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Solution

The fourth proportional to 209.21, 313.84 and 106.45 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.21 : 313.84 = 106.45 : x
  2. Step 2: Convert to fraction form
    209.21/313.84 = 106.45/x
  3. Step 3: Cross multiply
    209.21x = 313.84 × 106.45
  4. Step 4: Simplify right side
    209.21x = 33,407.62
  5. Step 5: Solve for x
    x = 33,407.62/209.21
  6. Step 6: Final answer
    x = 159.69

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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.