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Finding the Fourth Proportional to 209.82, 314.62 and 105.61

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Solution

The fourth proportional to 209.82, 314.62 and 105.61 is: 158.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.82 : 314.62 = 105.61 : x
  2. Step 2: Convert to fraction form
    209.82/314.62 = 105.61/x
  3. Step 3: Cross multiply
    209.82x = 314.62 × 105.61
  4. Step 4: Simplify right side
    209.82x = 33,227.02
  5. Step 5: Solve for x
    x = 33,227.02/209.82
  6. Step 6: Final answer
    x = 158.36

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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.