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Finding the Fourth Proportional to 381.96, 572.46 and 189.64

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Solution

The fourth proportional to 381.96, 572.46 and 189.64 is: 284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.96 : 572.46 = 189.64 : x
  2. Step 2: Convert to fraction form
    381.96/572.46 = 189.64/x
  3. Step 3: Cross multiply
    381.96x = 572.46 × 189.64
  4. Step 4: Simplify right side
    381.96x = 108,561.31
  5. Step 5: Solve for x
    x = 108,561.31/381.96
  6. Step 6: Final answer
    x = 284.22

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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.