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Finding the Fourth Proportional to 240.33, 331.66 and 140.81

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Solution

The fourth proportional to 240.33, 331.66 and 140.81 is: 194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.33 : 331.66 = 140.81 : x
  2. Step 2: Convert to fraction form
    240.33/331.66 = 140.81/x
  3. Step 3: Cross multiply
    240.33x = 331.66 × 140.81
  4. Step 4: Simplify right side
    240.33x = 46,700.79
  5. Step 5: Solve for x
    x = 46,700.79/240.33
  6. Step 6: Final answer
    x = 194.32

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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.