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Finding the Fourth Proportional to 240.91, 361.46 and 96.73

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Solution

The fourth proportional to 240.91, 361.46 and 96.73 is: 145.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.91 : 361.46 = 96.73 : x
  2. Step 2: Convert to fraction form
    240.91/361.46 = 96.73/x
  3. Step 3: Cross multiply
    240.91x = 361.46 × 96.73
  4. Step 4: Simplify right side
    240.91x = 34,964.03
  5. Step 5: Solve for x
    x = 34,964.03/240.91
  6. Step 6: Final answer
    x = 145.13

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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.