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Finding the Fourth Proportional to 240.14, 331.44 and 157.09

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Solution

The fourth proportional to 240.14, 331.44 and 157.09 is: 216.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.14 : 331.44 = 157.09 : x
  2. Step 2: Convert to fraction form
    240.14/331.44 = 157.09/x
  3. Step 3: Cross multiply
    240.14x = 331.44 × 157.09
  4. Step 4: Simplify right side
    240.14x = 52,064.49
  5. Step 5: Solve for x
    x = 52,064.49/240.14
  6. Step 6: Final answer
    x = 216.81

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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.