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Finding the Fourth Proportional to 381.69, 572.84 and 199.14

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Solution

The fourth proportional to 381.69, 572.84 and 199.14 is: 298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.69 : 572.84 = 199.14 : x
  2. Step 2: Convert to fraction form
    381.69/572.84 = 199.14/x
  3. Step 3: Cross multiply
    381.69x = 572.84 × 199.14
  4. Step 4: Simplify right side
    381.69x = 114,075.36
  5. Step 5: Solve for x
    x = 114,075.36/381.69
  6. Step 6: Final answer
    x = 298.87

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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.