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Finding the Fourth Proportional to 209.09, 311.81 and 185.78

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Solution

The fourth proportional to 209.09, 311.81 and 185.78 is: 277.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.09 : 311.81 = 185.78 : x
  2. Step 2: Convert to fraction form
    209.09/311.81 = 185.78/x
  3. Step 3: Cross multiply
    209.09x = 311.81 × 185.78
  4. Step 4: Simplify right side
    209.09x = 57,925.81
  5. Step 5: Solve for x
    x = 57,925.81/209.09
  6. Step 6: Final answer
    x = 277.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.