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Finding the Fourth Proportional to 240.91, 361.22 and 119.02

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Solution

The fourth proportional to 240.91, 361.22 and 119.02 is: 178.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.91 : 361.22 = 119.02 : x
  2. Step 2: Convert to fraction form
    240.91/361.22 = 119.02/x
  3. Step 3: Cross multiply
    240.91x = 361.22 × 119.02
  4. Step 4: Simplify right side
    240.91x = 42,992.40
  5. Step 5: Solve for x
    x = 42,992.40/240.91
  6. Step 6: Final answer
    x = 178.46

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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.