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Finding the Fourth Proportional to 237.21, 327.36 and 138.94

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Solution

The fourth proportional to 237.21, 327.36 and 138.94 is: 191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.21 : 327.36 = 138.94 : x
  2. Step 2: Convert to fraction form
    237.21/327.36 = 138.94/x
  3. Step 3: Cross multiply
    237.21x = 327.36 × 138.94
  4. Step 4: Simplify right side
    237.21x = 45,483.10
  5. Step 5: Solve for x
    x = 45,483.10/237.21
  6. Step 6: Final answer
    x = 191.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.