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Finding the Fourth Proportional to 237.09, 326.94 and 154.20

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Solution

The fourth proportional to 237.09, 326.94 and 154.20 is: 212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 326.94 = 154.20 : x
  2. Step 2: Convert to fraction form
    237.09/326.94 = 154.20/x
  3. Step 3: Cross multiply
    237.09x = 326.94 × 154.20
  4. Step 4: Simplify right side
    237.09x = 50,414.15
  5. Step 5: Solve for x
    x = 50,414.15/237.09
  6. Step 6: Final answer
    x = 212.64

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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.