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Finding the Fourth Proportional to 382.68, 573.84 and 166.32

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Solution

The fourth proportional to 382.68, 573.84 and 166.32 is: 249.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.68 : 573.84 = 166.32 : x
  2. Step 2: Convert to fraction form
    382.68/573.84 = 166.32/x
  3. Step 3: Cross multiply
    382.68x = 573.84 × 166.32
  4. Step 4: Simplify right side
    382.68x = 95,441.07
  5. Step 5: Solve for x
    x = 95,441.07/382.68
  6. Step 6: Final answer
    x = 249.40

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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.