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Finding the Fourth Proportional to 209.73, 314.11 and 106.76

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Solution

The fourth proportional to 209.73, 314.11 and 106.76 is: 159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.73 : 314.11 = 106.76 : x
  2. Step 2: Convert to fraction form
    209.73/314.11 = 106.76/x
  3. Step 3: Cross multiply
    209.73x = 314.11 × 106.76
  4. Step 4: Simplify right side
    209.73x = 33,534.90
  5. Step 5: Solve for x
    x = 33,534.90/209.73
  6. Step 6: Final answer
    x = 159.90

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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.