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Finding the Fourth Proportional to 382.10, 573.06 and 108.19

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Solution

The fourth proportional to 382.10, 573.06 and 108.19 is: 162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.10 : 573.06 = 108.19 : x
  2. Step 2: Convert to fraction form
    382.10/573.06 = 108.19/x
  3. Step 3: Cross multiply
    382.10x = 573.06 × 108.19
  4. Step 4: Simplify right side
    382.10x = 61,996.50
  5. Step 5: Solve for x
    x = 61,996.50/382.10
  6. Step 6: Final answer
    x = 162.25

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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.