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Finding the Fourth Proportional to 240.71, 361.07 and 133.18

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Solution

The fourth proportional to 240.71, 361.07 and 133.18 is: 199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.71 : 361.07 = 133.18 : x
  2. Step 2: Convert to fraction form
    240.71/361.07 = 133.18/x
  3. Step 3: Cross multiply
    240.71x = 361.07 × 133.18
  4. Step 4: Simplify right side
    240.71x = 48,087.30
  5. Step 5: Solve for x
    x = 48,087.30/240.71
  6. Step 6: Final answer
    x = 199.77

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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.