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Finding the Fourth Proportional to 382.18, 527.46 and 224.87

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Solution

The fourth proportional to 382.18, 527.46 and 224.87 is: 310.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.18 : 527.46 = 224.87 : x
  2. Step 2: Convert to fraction form
    382.18/527.46 = 224.87/x
  3. Step 3: Cross multiply
    382.18x = 527.46 × 224.87
  4. Step 4: Simplify right side
    382.18x = 118,609.93
  5. Step 5: Solve for x
    x = 118,609.93/382.18
  6. Step 6: Final answer
    x = 310.35

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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.