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Finding the Fourth Proportional to 382.14, 527.37 and 216.36

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Solution

The fourth proportional to 382.14, 527.37 and 216.36 is: 298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.14 : 527.37 = 216.36 : x
  2. Step 2: Convert to fraction form
    382.14/527.37 = 216.36/x
  3. Step 3: Cross multiply
    382.14x = 527.37 × 216.36
  4. Step 4: Simplify right side
    382.14x = 114,101.77
  5. Step 5: Solve for x
    x = 114,101.77/382.14
  6. Step 6: Final answer
    x = 298.59

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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.