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Finding the Fourth Proportional to 381.98, 527.06 and 216.24

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Solution

The fourth proportional to 381.98, 527.06 and 216.24 is: 298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.98 : 527.06 = 216.24 : x
  2. Step 2: Convert to fraction form
    381.98/527.06 = 216.24/x
  3. Step 3: Cross multiply
    381.98x = 527.06 × 216.24
  4. Step 4: Simplify right side
    381.98x = 113,968.80
  5. Step 5: Solve for x
    x = 113,968.80/381.98
  6. Step 6: Final answer
    x = 298.36

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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.