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Finding the Fourth Proportional to 243.05, 365.87 and 209.56

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Solution

The fourth proportional to 243.05, 365.87 and 209.56 is: 315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.05 : 365.87 = 209.56 : x
  2. Step 2: Convert to fraction form
    243.05/365.87 = 209.56/x
  3. Step 3: Cross multiply
    243.05x = 365.87 × 209.56
  4. Step 4: Simplify right side
    243.05x = 76,671.33
  5. Step 5: Solve for x
    x = 76,671.33/243.05
  6. Step 6: Final answer
    x = 315.45

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.