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Finding the Fourth Proportional to 240.14, 331.21 and 157.34

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Solution

The fourth proportional to 240.14, 331.21 and 157.34 is: 217.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 331.21 = 157.34 : x
  2. Step 2: Convert to fraction form
    240.14/331.21 = 157.34/x
  3. Step 3: Cross multiply
    240.14x = 331.21 × 157.34
  4. Step 4: Simplify right side
    240.14x = 52,112.58
  5. Step 5: Solve for x
    x = 52,112.58/240.14
  6. Step 6: Final answer
    x = 217.01

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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.