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Finding the Fourth Proportional to 209.95, 289.68 and 125.95

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Solution

The fourth proportional to 209.95, 289.68 and 125.95 is: 173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.95 : 289.68 = 125.95 : x
  2. Step 2: Convert to fraction form
    209.95/289.68 = 125.95/x
  3. Step 3: Cross multiply
    209.95x = 289.68 × 125.95
  4. Step 4: Simplify right side
    209.95x = 36,484.54
  5. Step 5: Solve for x
    x = 36,484.54/209.95
  6. Step 6: Final answer
    x = 173.78

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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.