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Finding the Fourth Proportional to 240.24, 331.50 and 142.02

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Solution

The fourth proportional to 240.24, 331.50 and 142.02 is: 195.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.24 : 331.50 = 142.02 : x
  2. Step 2: Convert to fraction form
    240.24/331.50 = 142.02/x
  3. Step 3: Cross multiply
    240.24x = 331.50 × 142.02
  4. Step 4: Simplify right side
    240.24x = 47,079.63
  5. Step 5: Solve for x
    x = 47,079.63/240.24
  6. Step 6: Final answer
    x = 195.97

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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.