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Finding the Fourth Proportional to 382.64, 574.28 and 166.40

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Solution

The fourth proportional to 382.64, 574.28 and 166.40 is: 249.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.64 : 574.28 = 166.40 : x
  2. Step 2: Convert to fraction form
    382.64/574.28 = 166.40/x
  3. Step 3: Cross multiply
    382.64x = 574.28 × 166.40
  4. Step 4: Simplify right side
    382.64x = 95,560.19
  5. Step 5: Solve for x
    x = 95,560.19/382.64
  6. Step 6: Final answer
    x = 249.74

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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.