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Finding the Fourth Proportional to 237.06, 326.97 and 154.11

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Solution

The fourth proportional to 237.06, 326.97 and 154.11 is: 212.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.06 : 326.97 = 154.11 : x
  2. Step 2: Convert to fraction form
    237.06/326.97 = 154.11/x
  3. Step 3: Cross multiply
    237.06x = 326.97 × 154.11
  4. Step 4: Simplify right side
    237.06x = 50,389.35
  5. Step 5: Solve for x
    x = 50,389.35/237.06
  6. Step 6: Final answer
    x = 212.56

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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.