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Finding the Fourth Proportional to 240.47, 331.83 and 142.23

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Solution

The fourth proportional to 240.47, 331.83 and 142.23 is: 196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.47 : 331.83 = 142.23 : x
  2. Step 2: Convert to fraction form
    240.47/331.83 = 142.23/x
  3. Step 3: Cross multiply
    240.47x = 331.83 × 142.23
  4. Step 4: Simplify right side
    240.47x = 47,196.18
  5. Step 5: Solve for x
    x = 47,196.18/240.47
  6. Step 6: Final answer
    x = 196.27

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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.