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Finding the Fourth Proportional to 240.96, 361.75 and 132.83

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Solution

The fourth proportional to 240.96, 361.75 and 132.83 is: 199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.96 : 361.75 = 132.83 : x
  2. Step 2: Convert to fraction form
    240.96/361.75 = 132.83/x
  3. Step 3: Cross multiply
    240.96x = 361.75 × 132.83
  4. Step 4: Simplify right side
    240.96x = 48,051.25
  5. Step 5: Solve for x
    x = 48,051.25/240.96
  6. Step 6: Final answer
    x = 199.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.