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Finding the Fourth Proportional to 240.41, 331.56 and 193.77

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Solution

The fourth proportional to 240.41, 331.56 and 193.77 is: 267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.41 : 331.56 = 193.77 : x
  2. Step 2: Convert to fraction form
    240.41/331.56 = 193.77/x
  3. Step 3: Cross multiply
    240.41x = 331.56 × 193.77
  4. Step 4: Simplify right side
    240.41x = 64,246.38
  5. Step 5: Solve for x
    x = 64,246.38/240.41
  6. Step 6: Final answer
    x = 267.23

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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.