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Finding the Fourth Proportional to 382.19, 527.56 and 224.88

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Solution

The fourth proportional to 382.19, 527.56 and 224.88 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.19 : 527.56 = 224.88 : x
  2. Step 2: Convert to fraction form
    382.19/527.56 = 224.88/x
  3. Step 3: Cross multiply
    382.19x = 527.56 × 224.88
  4. Step 4: Simplify right side
    382.19x = 118,637.69
  5. Step 5: Solve for x
    x = 118,637.69/382.19
  6. Step 6: Final answer
    x = 310.42

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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.