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Finding the Fourth Proportional to 240.08, 331.32 and 141.84

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Solution

The fourth proportional to 240.08, 331.32 and 141.84 is: 195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.08 : 331.32 = 141.84 : x
  2. Step 2: Convert to fraction form
    240.08/331.32 = 141.84/x
  3. Step 3: Cross multiply
    240.08x = 331.32 × 141.84
  4. Step 4: Simplify right side
    240.08x = 46,994.43
  5. Step 5: Solve for x
    x = 46,994.43/240.08
  6. Step 6: Final answer
    x = 195.75

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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.