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Finding the Fourth Proportional to 381.99, 527.17 and 216.22

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Solution

The fourth proportional to 381.99, 527.17 and 216.22 is: 298.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.99 : 527.17 = 216.22 : x
  2. Step 2: Convert to fraction form
    381.99/527.17 = 216.22/x
  3. Step 3: Cross multiply
    381.99x = 527.17 × 216.22
  4. Step 4: Simplify right side
    381.99x = 113,984.70
  5. Step 5: Solve for x
    x = 113,984.70/381.99
  6. Step 6: Final answer
    x = 298.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.