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Finding the Fourth Proportional to 240.14, 331.32 and 141.88

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Solution

The fourth proportional to 240.14, 331.32 and 141.88 is: 195.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 331.32 = 141.88 : x
  2. Step 2: Convert to fraction form
    240.14/331.32 = 141.88/x
  3. Step 3: Cross multiply
    240.14x = 331.32 × 141.88
  4. Step 4: Simplify right side
    240.14x = 47,005.88
  5. Step 5: Solve for x
    x = 47,005.88/240.14
  6. Step 6: Final answer
    x = 195.74

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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.