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Finding the Fourth Proportional to 209.83, 289.55 and 122.51

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Solution

The fourth proportional to 209.83, 289.55 and 122.51 is: 169.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.83 : 289.55 = 122.51 : x
  2. Step 2: Convert to fraction form
    209.83/289.55 = 122.51/x
  3. Step 3: Cross multiply
    209.83x = 289.55 × 122.51
  4. Step 4: Simplify right side
    209.83x = 35,472.77
  5. Step 5: Solve for x
    x = 35,472.77/209.83
  6. Step 6: Final answer
    x = 169.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.