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Finding the Fourth Proportional to 240.99, 361.49 and 189.91

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Solution

The fourth proportional to 240.99, 361.49 and 189.91 is: 284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.99 : 361.49 = 189.91 : x
  2. Step 2: Convert to fraction form
    240.99/361.49 = 189.91/x
  3. Step 3: Cross multiply
    240.99x = 361.49 × 189.91
  4. Step 4: Simplify right side
    240.99x = 68,650.14
  5. Step 5: Solve for x
    x = 68,650.14/240.99
  6. Step 6: Final answer
    x = 284.86

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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.