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Finding the Fourth Proportional to 382.29, 573.46 and 118.71

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Solution

The fourth proportional to 382.29, 573.46 and 118.71 is: 178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 573.46 = 118.71 : x
  2. Step 2: Convert to fraction form
    382.29/573.46 = 118.71/x
  3. Step 3: Cross multiply
    382.29x = 573.46 × 118.71
  4. Step 4: Simplify right side
    382.29x = 68,072.36
  5. Step 5: Solve for x
    x = 68,072.36/382.29
  6. Step 6: Final answer
    x = 178.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.