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Finding the Fourth Proportional to 382.16, 527.31 and 224.75

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Solution

The fourth proportional to 382.16, 527.31 and 224.75 is: 310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.16 : 527.31 = 224.75 : x
  2. Step 2: Convert to fraction form
    382.16/527.31 = 224.75/x
  3. Step 3: Cross multiply
    382.16x = 527.31 × 224.75
  4. Step 4: Simplify right side
    382.16x = 118,510.29
  5. Step 5: Solve for x
    x = 118,510.29/382.16
  6. Step 6: Final answer
    x = 310.11

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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.