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Finding the Fourth Proportional to 240.06, 331.24 and 141.80

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Solution

The fourth proportional to 240.06, 331.24 and 141.80 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.06 : 331.24 = 141.80 : x
  2. Step 2: Convert to fraction form
    240.06/331.24 = 141.80/x
  3. Step 3: Cross multiply
    240.06x = 331.24 × 141.80
  4. Step 4: Simplify right side
    240.06x = 46,969.83
  5. Step 5: Solve for x
    x = 46,969.83/240.06
  6. Step 6: Final answer
    x = 195.66

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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.