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Finding the Fourth Proportional to 382.50, 527.96 and 216.81

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Solution

The fourth proportional to 382.50, 527.96 and 216.81 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.50 : 527.96 = 216.81 : x
  2. Step 2: Convert to fraction form
    382.50/527.96 = 216.81/x
  3. Step 3: Cross multiply
    382.50x = 527.96 × 216.81
  4. Step 4: Simplify right side
    382.50x = 114,467.55
  5. Step 5: Solve for x
    x = 114,467.55/382.50
  6. Step 6: Final answer
    x = 299.26

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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.